345141264
345,141,264 is an even composite number composed of five prime numbers multiplied together.
345141264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 345141264:
24 × 3 × 132 × 157 × 271
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 157 × 271)See below for interesting mathematical facts about the number 345141264 from the Numbermatics database.
Names of 345141264
- Cardinal: 345141264 can be written as Three hundred forty-five million, one hundred forty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.45141264 × 108
Factors of 345141264
Divisors of 345141264
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 169 208 271 312 314 338 471 507 542 624 628 676 813 942 1014 1084 1256 1352 1626 1884 2028 2041 2168 2512 2704 3252 3523 3768 4056 4082 4336 6123 6504 7046 7536 8112 8164 10569 12246 13008 14092 16328 21138 24492 26533 28184 32656 42276 42547 45799 48984 53066 56368 79599 84552 85094 91598 97968 106132 127641 137397 159198 169104 170188 183196 212264 255282 274794 318396 340376 366392 424528 510564 549588 553111 636792 680752 732784 1021128 1099176 1106222 1273584 1659333 2042256 2198352 2212444 3318666 4424888 6637332 7190443 8849776 13274664 14380886 21571329 26549328 28761772 43142658 57523544 86285316 115047088 172570632 345141264
- Sum of all divisors σ(n): 975211392
- Sum of proper divisors (its aliquot sum) s(n): 630070128
- 345141264 is an abundant number, because the sum of its proper divisors (630070128) is greater than itself. Its abundance is 284928864
Bases of 345141264
- Binary: 101001001001001110000000100002
- Hexadecimal: 0x14927010
- Base-36: 5PHKPC
Squares and roots of 345141264
- 345141264 squared (3451412642) is 119122492115517696
- 345141264 cubed (3451412643) is 41114087499579811611807744
-
The
square root of 345141264 is 18577.9779308729 -
The
cube root of 345141264 is 701.4536214939
Scales and comparisons
How big is 345141264?- 345,141,264 seconds is equal to 10 years, 50 weeks, 4 days, 16 hours, 34 minutes, 24 seconds.
-
To count from 1 to 345,141,264 would take you about sixteen 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 345141264 cubic inches would be around 58.5 feet tall.
Recreational maths with 345141264
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