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312275364 = 223295316931
BaseRepresentation
bin10010100111001…
…111000110100100
3210202121020021020
4102213033012210
51114420302424
650553051140
710511203542
oct2247170644
9722536236
10312275364
111502a9115
12886b6ab0
134c90822b
142d68ad92
151c636079
hex129cf1a4

312275364 has 48 divisors (see below), whose sum is σ = 768035520. Its totient is φ = 98600320.

The previous prime is 312275339. The next prime is 312275371. The reversal of 312275364 is 463572213.

It is a super-2 number, since 2×3122753642 = 195031805922664992, which contains 22 as substring.

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, 9979 + ... + 26909.

It is an arithmetic number, because the mean of its divisors is an integer number (16000740).

Almost surely, 2312275364 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 312275364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384017760).

312275364 is an abundant number, since it is smaller than the sum of its proper divisors (455760156).

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

312275364 is a wasteful number, since it uses less digits than its factorization.

312275364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17018 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 312275364 is about 17671.3147218876. The cubic root of 312275364 is about 678.4417635944.

The spelling of 312275364 in words is "three hundred twelve million, two hundred seventy-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 16931 18444 33862 50793 67724 101586 203172 490999 897343 981998 1472997 1794686 1963996 2692029 2945994 3589372 5384058 5891988 10768116 26022947 52045894 78068841 104091788 156137682 312275364