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314905864 = 237133071409
BaseRepresentation
bin10010110001010…
…001010100001000
3210221112212122011
4102301101110020
51121103441424
651125305304
710542440620
oct2261212410
9727485564
10314905864
11151835489
1289565234
1350319640
142db73880
151c9a5694
hex12c51508

314905864 has 64 divisors (see below), whose sum is σ = 729590400. Its totient is φ = 124084224.

The previous prime is 314905859. The next prime is 314905883. The reversal of 314905864 is 468509413.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222792 + ... + 224200.

It is an arithmetic number, because the mean of its divisors is an integer number (11399850).

Almost surely, 2314905864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314905864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364795200).

314905864 is an abundant number, since it is smaller than the sum of its proper divisors (414684536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314905864 is a wasteful number, since it uses less digits than its factorization.

314905864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 314905864 is about 17745.5871697727. The cubic root of 314905864 is about 680.3414260048.

The spelling of 314905864 in words is "three hundred fourteen million, nine hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 307 364 614 728 1228 1409 2149 2456 2818 3991 4298 5636 7982 8596 9863 11272 15964 17192 18317 19726 27937 31928 36634 39452 55874 73268 78904 111748 128219 146536 223496 256438 432563 512876 865126 1025752 1730252 3027941 3460504 5623319 6055882 11246638 12111764 22493276 24223528 39363233 44986552 78726466 157452932 314905864