385728640
385,728,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 385728640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
385728640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 385728640:
27 × 5 × 112 × 17 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 17 × 293)See below for interesting mathematical facts about the number 385728640 from the Numbermatics database.
Names of 385728640
- Cardinal: 385728640 can be written as Three hundred eighty-five million, seven hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.8572864 × 108
Factors of 385728640
Divisors of 385728640
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 121 128 136 160 170 176 187 220 242 272 293 320 340 352 374 440 484 544 586 605 640 680 704 748 880 935 968 1088 1172 1210 1360 1408 1465 1496 1760 1870 1936 2057 2176 2344 2420 2720 2930 2992 3223 3520 3740 3872 4114 4688 4840 4981 5440 5860 5984 6446 7040 7480 7744 8228 9376 9680 9962 10285 10880 11720 11968 12892 14960 15488 16115 16456 18752 19360 19924 20570 23440 23936 24905 25784 29920 32230 32912 35453 37504 38720 39848 41140 46880 49810 51568 54791 59840 64460 65824 70906 77440 79696 82280 93760 99620 103136 109582 119680 128920 131648 141812 159392 164560 177265 187520 199240 206272 219164 257840 263296 273955 283624 318784 329120 354530 398480 412544 438328 515680 547910 567248 602701 637568 658240 709060 796960 876656 1031360 1095820 1134496 1205402 1316480 1418120 1593920 1753312 2062720 2191640 2268992 2410804 2836240 3013505 3187840 3506624 4383280 4537984 4821608 5672480 6027010 7013248 8766560 9643216 11344960 12054020 17533120 19286432 22689920 24108040 35066240 38572864 48216080 77145728 96432160 192864320 385728640
- Sum of all divisors σ(n): 1076869080
- Sum of proper divisors (its aliquot sum) s(n): 691140440
- 385728640 is an abundant number, because the sum of its proper divisors (691140440) is greater than itself. Its abundance is 305411800
Bases of 385728640
- Binary: 101101111110111000000100000002
- Hexadecimal: 0x16FDC080
- Base-36: 6DNI4G
Squares and roots of 385728640
- 385728640 squared (3857286402) is 148786583716249600
- 385728640 cubed (3857286403) is 57391246587115104108544000
-
The
square root of 385728640 is 19639.9755600663 -
The
cube root of 385728640 is 727.9372807539
Scales and comparisons
How big is 385728640?- 385,728,640 seconds is equal to 12 years, 13 weeks, 5 days, 10 hours, 50 minutes, 40 seconds.
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To count from 1 to 385,728,640 would take you about eighteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 385728640 cubic inches would be around 60.7 feet tall.
Recreational maths with 385728640
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