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314319552 = 2637092309
BaseRepresentation
bin10010101111000…
…010001011000000
3210220110002100220
4102233002023000
51120431211202
651104543040
710534446351
oct2257021300
9726402326
10314319552
11151474a28
1289321a80
1350172801
142da5dd28
151c8dbabc
hex12bc22c0

314319552 has 56 divisors (see below), whose sum is σ = 833170800. Its totient is φ = 104580096.

The previous prime is 314319529. The next prime is 314319581. The reversal of 314319552 is 255913413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134974 + ... + 137282.

It is an arithmetic number, because the mean of its divisors is an integer number (14878050).

Almost surely, 2314319552 is an apocalyptic number.

314319552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314319552 is an abundant number, since it is smaller than the sum of its proper divisors (518851248).

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

314319552 is a wasteful number, since it uses less digits than its factorization.

314319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3023 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 314319552 is about 17729.0595351248. The cubic root of 314319552 is about 679.9189292046.

The spelling of 314319552 in words is "three hundred fourteen million, three hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 709 1418 2127 2309 2836 4254 4618 5672 6927 8508 9236 11344 13854 17016 18472 22688 27708 34032 36944 45376 55416 68064 73888 110832 136128 147776 221664 443328 1637081 3274162 4911243 6548324 9822486 13096648 19644972 26193296 39289944 52386592 78579888 104773184 157159776 314319552