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313377864 = 233173720759
BaseRepresentation
bin10010101011011…
…100010001001000
3210211200020121120
4102223130101020
51120211042424
651032435240
710523445042
oct2253342110
9724606546
10313377864
11150991478
1288b48b20
134cc02cb7
142d896a92
151c7a2a79
hex12adc448

313377864 has 64 divisors (see below), whose sum is σ = 851990400. Its totient is φ = 95652864.

The previous prime is 313377859. The next prime is 313377917. The reversal of 313377864 is 468773313.

313377864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4717 + ... + 25475.

It is an arithmetic number, because the mean of its divisors is an integer number (13312350).

Almost surely, 2313377864 is an apocalyptic number.

313377864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313377864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425995200).

313377864 is an abundant number, since it is smaller than the sum of its proper divisors (538612536).

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

313377864 is a wasteful number, since it uses less digits than its factorization.

313377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20822 (or 20818 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 313377864 is about 17702.4818598975. The cubic root of 313377864 is about 679.2392472614.

The spelling of 313377864 in words is "three hundred thirteen million, three hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 3774 5032 7548 15096 20759 41518 62277 83036 124554 166072 249108 352903 498216 705806 768083 1058709 1411612 1536166 2117418 2304249 2823224 3072332 4234836 4608498 6144664 8469672 9216996 13057411 18433992 26114822 39172233 52229644 78344466 104459288 156688932 313377864