384048000

素因数分解:

$2^7\times 3^3\times 5^3\times 7^1\times {\mathrm{127}}^1$

素因数の和:172

約数の個数: 512

約数和(自身を含む): 1629388800

約数和(自身を除く): 1245340800

約数列:

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 84, 90, 96, 100, 105, 108, 112, 120, 125, 126, 127, 128, 135, 140, 144, 150, 160, 168, 175, 180, 189, 192, 200, 210, 216, 224, 225, 240, 250, 252, 254, 270, 280, 288, 300, 315, 320, 336, 350, 360, 375, 378, 381, 384, 400, 420, 432, 448, 450, 480, 500, 504, 508, 525, 540, 560, 576, 600, 630, 635, 640, 672, 675, 700, 720, 750, 756, 762, 800, 840, 864, 875, 889, 896, 900, 945, 960, 1000, 1008, 1016, 1050, 1080, 1120, 1125, 1143, 1152, 1200, 1260, 1270, 1344, 1350, 1400, 1440, 1500, 1512, 1524, 1575, 1600, 1680, 1728, 1750, 1778, 1800, 1890, 1905, 1920, 2000, 2016, 2032, 2100, 2160, 2240, 2250, 2286, 2400, 2520, 2540, 2625, 2667, 2688, 2700, 2800, 2880, 3000, 3024, 3048, 3150, 3175, 3200, 3360, 3375, 3429, 3456, 3500, 3556, 3600, 3780, 3810, 4000, 4032, 4064, 4200, 4320, 4445, 4480, 4500, 4572, 4725, 4800, 5040, 5080, 5250, 5334, 5400, 5600, 5715, 5760, 6000, 6048, 6096, 6300, 6350, 6720, 6750, 6858, 7000, 7112, 7200, 7560, 7620, 7875, 8000, 8001, 8064, 8128, 8400, 8640, 8890, 9000, 9144, 9450, 9525, 9600, 10080, 10160, 10500, 10668, 10800, 11200, 11430, 12000, 12096, 12192, 12600, 12700, 13335, 13440, 13500, 13716, 14000, 14224, 14400, 15120, 15240, 15750, 15875, 16000, 16002, 16256, 16800, 17145, 17280, 17780, 18000, 18288, 18900, 19050, 20160, 20320, 21000, 21336, 21600, 22225, 22400, 22860, 23625, 24000, 24003, 24192, 24384, 25200, 25400, 26670, 27000, 27432, 28000, 28448, 28575, 28800, 30240, 30480, 31500, 31750, 32004, 33600, 34290, 35560, 36000, 36576, 37800, 38100, 40005, 40320, 40640, 42000, 42672, 43200, 44450, 45720, 47250, 47625, 48000, 48006, 48768, 50400, 50800, 53340, 54000, 54864, 56000, 56896, 57150, 60480, 60960, 63000, 63500, 64008, 66675, 67200, 68580, 71120, 72000, 73152, 75600, 76200, 80010, 81280, 84000, 85344, 85725, 86400, 88900, 91440, 94500, 95250, 96012, 100800, 101600, 106680, 108000, 109728, 111125, 112000, 113792, 114300, 120015, 120960, 121920, 126000, 127000, 128016, 133350, 137160, 142240, 142875, 144000, 146304, 151200, 152400, 160020, 168000, 170688, 171450, 177800, 182880, 189000, 190500, 192024, 200025, 201600, 203200, 213360, 216000, 219456, 222250, 228600, 240030, 243840, 252000, 254000, 256032, 266700, 274320, 284480, 285750, 302400, 304800, 320040, 333375, 336000, 341376, 342900, 355600, 365760, 378000, 381000, 384048, 400050, 406400, 426720, 428625, 432000, 438912, 444500, 457200, 480060, 504000, 508000, 512064, 533400, 548640, 568960, 571500, 600075, 604800, 609600, 640080, 666750, 685800, 711200, 731520, 756000, 762000, 768096, 800100, 853440, 857250, 889000, 914400, 960120, 1000125, 1008000, 1016000, 1024128, 1066800, 1097280, 1143000, 1200150, 1219200, 1280160, 1333500, 1371600, 1422400, 1512000, 1524000, 1536192, 1600200, 1706880, 1714500, 1778000, 1828800, 1920240, 2000250, 2032000, 2133600, 2194560, 2286000, 2400300, 2560320, 2667000, 2743200, 2844800, 3000375, 3024000, 3048000, 3072384, 3200400, 3429000, 3556000, 3657600, 3840480, 4000500, 4267200, 4572000, 4800600, 5120640, 5334000, 5486400, 6000750, 6096000, 6400800, 6858000, 7112000, 7680960, 8001000, 8534400, 9144000, 9601200, 10668000, 10972800, 12001500, 12801600, 13716000, 14224000, 15361920, 16002000, 18288000, 19202400, 21336000, 24003000, 25603200, 27432000, 32004000, 38404800, 42672000, 48006000, 54864000, 64008000, 76809600, 96012000, 128016000, 192024000, 384048000]

約数ペア:

[(1, 384048000), (2, 192024000), (3, 128016000), (4, 96012000), (5, 76809600), (6, 64008000), (7, 54864000), (8, 48006000), (9, 42672000), (10, 38404800), (12, 32004000), (14, 27432000), (15, 25603200), (16, 24003000), (18, 21336000), (20, 19202400), (21, 18288000), (24, 16002000), (25, 15361920), (27, 14224000), (28, 13716000), (30, 12801600), (32, 12001500), (35, 10972800), (36, 10668000), (40, 9601200), (42, 9144000), (45, 8534400), (48, 8001000), (50, 7680960), (54, 7112000), (56, 6858000), (60, 6400800), (63, 6096000), (64, 6000750), (70, 5486400), (72, 5334000), (75, 5120640), (80, 4800600), (84, 4572000), (90, 4267200), (96, 4000500), (100, 3840480), (105, 3657600), (108, 3556000), (112, 3429000), (120, 3200400), (125, 3072384), (126, 3048000), (127, 3024000), (128, 3000375), (135, 2844800), (140, 2743200), (144, 2667000), (150, 2560320), (160, 2400300), (168, 2286000), (175, 2194560), (180, 2133600), (189, 2032000), (192, 2000250), (200, 1920240), (210, 1828800), (216, 1778000), (224, 1714500), (225, 1706880), (240, 1600200), (250, 1536192), (252, 1524000), (254, 1512000), (270, 1422400), (280, 1371600), (288, 1333500), (300, 1280160), (315, 1219200), (320, 1200150), (336, 1143000), (350, 1097280), (360, 1066800), (375, 1024128), (378, 1016000), (381, 1008000), (384, 1000125), (400, 960120), (420, 914400), (432, 889000), (448, 857250), (450, 853440), (480, 800100), (500, 768096), (504, 762000), (508, 756000), (525, 731520), (540, 711200), (560, 685800), (576, 666750), (600, 640080), (630, 609600), (635, 604800), (640, 600075), (672, 571500), (675, 568960), (700, 548640), (720, 533400), (750, 512064), (756, 508000), (762, 504000), (800, 480060), (840, 457200), (864, 444500), (875, 438912), (889, 432000), (896, 428625), (900, 426720), (945, 406400), (960, 400050), (1000, 384048), (1008, 381000), (1016, 378000), (1050, 365760), (1080, 355600), (1120, 342900), (1125, 341376), (1143, 336000), (1152, 333375), (1200, 320040), (1260, 304800), (1270, 302400), (1344, 285750), (1350, 284480), (1400, 274320), (1440, 266700), (1500, 256032), (1512, 254000), (1524, 252000), (1575, 243840), (1600, 240030), (1680, 228600), (1728, 222250), (1750, 219456), (1778, 216000), (1800, 213360), (1890, 203200), (1905, 201600), (1920, 200025), (2000, 192024), (2016, 190500), (2032, 189000), (2100, 182880), (2160, 177800), (2240, 171450), (2250, 170688), (2286, 168000), (2400, 160020), (2520, 152400), (2540, 151200), (2625, 146304), (2667, 144000), (2688, 142875), (2700, 142240), (2800, 137160), (2880, 133350), (3000, 128016), (3024, 127000), (3048, 126000), (3150, 121920), (3175, 120960), (3200, 120015), (3360, 114300), (3375, 113792), (3429, 112000), (3456, 111125), (3500, 109728), (3556, 108000), (3600, 106680), (3780, 101600), (3810, 100800), (4000, 96012), (4032, 95250), (4064, 94500), (4200, 91440), (4320, 88900), (4445, 86400), (4480, 85725), (4500, 85344), (4572, 84000), (4725, 81280), (4800, 80010), (5040, 76200), (5080, 75600), (5250, 73152), (5334, 72000), (5400, 71120), (5600, 68580), (5715, 67200), (5760, 66675), (6000, 64008), (6048, 63500), (6096, 63000), (6300, 60960), (6350, 60480), (6720, 57150), (6750, 56896), (6858, 56000), (7000, 54864), (7112, 54000), (7200, 53340), (7560, 50800), (7620, 50400), (7875, 48768), (8000, 48006), (8001, 48000), (8064, 47625), (8128, 47250), (8400, 45720), (8640, 44450), (8890, 43200), (9000, 42672), (9144, 42000), (9450, 40640), (9525, 40320), (9600, 40005), (10080, 38100), (10160, 37800), (10500, 36576), (10668, 36000), (10800, 35560), (11200, 34290), (11430, 33600), (12000, 32004), (12096, 31750), (12192, 31500), (12600, 30480), (12700, 30240), (13335, 28800), (13440, 28575), (13500, 28448), (13716, 28000), (14000, 27432), (14224, 27000), (14400, 26670), (15120, 25400), (15240, 25200), (15750, 24384), (15875, 24192), (16000, 24003), (16002, 24000), (16256, 23625), (16800, 22860), (17145, 22400), (17280, 22225), (17780, 21600), (18000, 21336), (18288, 21000), (18900, 20320), (19050, 20160)]