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314328252 = 223713192837
BaseRepresentation
bin10010101111000…
…100010010111100
3210220110112022010
4102233010102330
51120432001002
651105051220
710534513620
oct2257042274
9726415263
10314328252
11151480517
1289326b10
1350176764
142da63180
151c8de46c
hex12bc44bc

314328252 has 48 divisors (see below), whose sum is σ = 839139840. Its totient is φ = 89708352.

The previous prime is 314328247. The next prime is 314328253. The reversal of 314328252 is 252823413.

314328252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314328253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109378 + ... + 112214.

It is an arithmetic number, because the mean of its divisors is an integer number (17482080).

Almost surely, 2314328252 is an apocalyptic number.

It is an amenable number.

314328252 is an abundant number, since it is smaller than the sum of its proper divisors (524811588).

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

314328252 is a wasteful number, since it uses less digits than its factorization.

314328252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4168 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 314328252 is about 17729.3048933115. The cubic root of 314328252 is about 679.9252022688.

The spelling of 314328252 in words is "three hundred fourteen million, three hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1319 2638 2837 3957 5276 5674 7914 8511 9233 11348 15828 17022 18466 19859 27699 34044 36932 39718 55398 59577 79436 110796 119154 238308 3742003 7484006 11226009 14968012 22452018 26194021 44904036 52388042 78582063 104776084 157164126 314328252