385478688
385,478,688 is an even composite number composed of five prime numbers multiplied together.
385478688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 385478688:
25 × 3 × 72 × 192 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 19 × 227)See below for interesting mathematical facts about the number 385478688 from the Numbermatics database.
Names of 385478688
- Cardinal: 385478688 can be written as Three hundred eighty-five million, four hundred seventy-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 3.85478688 × 108
Factors of 385478688
Divisors of 385478688
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 227 228 266 294 304 336 361 392 399 454 456 532 588 608 672 681 722 784 798 908 912 931 1064 1083 1176 1362 1444 1568 1589 1596 1816 1824 1862 2128 2166 2352 2527 2724 2793 2888 3178 3192 3632 3724 4256 4313 4332 4704 4767 5054 5448 5586 5776 6356 6384 7264 7448 7581 8626 8664 9534 10108 10896 11123 11172 11552 12712 12768 12939 14896 15162 17252 17328 17689 19068 20216 21792 22246 22344 25424 25878 29792 30191 30324 33369 34504 34656 35378 38136 40432 44492 44688 50848 51756 53067 60382 60648 66738 69008 70756 76272 80864 81947 88984 89376 90573 103512 106134 120764 121296 133476 138016 141512 152544 163894 177968 181146 207024 211337 212268 241528 242592 245841 266952 283024 327788 355936 362292 414048 422674 424536 483056 491682 533904 566048 573629 634011 655576 724584 845348 849072 966112 983364 1067808 1147258 1268022 1311152 1449168 1690696 1698144 1720887 1966728 2294516 2536044 2622304 2898336 3381392 3441774 3933456 4015403 4589032 5072088 6762784 6883548 7866912 8030806 9178064 10144176 12046209 13767096 16061612 18356128 20288352 24092418 27534192 32123224 48184836 55068384 64246448 96369672 128492896 192739344 385478688
- Sum of all divisors σ(n): 1247771952
- Sum of proper divisors (its aliquot sum) s(n): 862293264
- 385478688 is an abundant number, because the sum of its proper divisors (862293264) is greater than itself. Its abundance is 476814576
Bases of 385478688
- Binary: 101101111100111110000001000002
- Hexadecimal: 0x16F9F020
- Base-36: 6DI59C
Squares and roots of 385478688
- 385478688 squared (3854786882) is 148593818902201344
- 385478688 cubed (3854786883) is 57279750355330174396956672
-
The
square root of 385478688 is 19633.6111808297 -
The
cube root of 385478688 is 727.7800124261
Scales and comparisons
How big is 385478688?- 385,478,688 seconds is equal to 12 years, 13 weeks, 2 days, 13 hours, 24 minutes, 48 seconds.
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To count from 1 to 385,478,688 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 385478688 cubic inches would be around 60.6 feet tall.
Recreational maths with 385478688
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