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314809056 = 25321093087
BaseRepresentation
bin10010110000111…
…001101011100000
3210221100221211200
4102300321223200
51121042342211
651123241200
710541555442
oct2260715340
9727327750
10314809056
11151779781
1289519200
13502b4563
142db4a492
151c986b56
hex12c39ae0

314809056 has 36 divisors (see below), whose sum is σ = 895239072. Its totient is φ = 104936256.

The previous prime is 314809039. The next prime is 314809057. The reversal of 314809056 is 650908413.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3148090562 = 198209483479222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 314809056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314809057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 546256 + ... + 546831.

It is an arithmetic number, because the mean of its divisors is an integer number (24867752).

Almost surely, 2314809056 is an apocalyptic number.

314809056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314809056 is an abundant number, since it is smaller than the sum of its proper divisors (580430016).

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

314809056 is a wasteful number, since it uses less digits than its factorization.

314809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093103 (or 1093092 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 314809056 is about 17742.8592960661. The cubic root of 314809056 is about 680.2717022656.

The spelling of 314809056 in words is "three hundred fourteen million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1093087 2186174 3279261 4372348 6558522 8744696 9837783 13117044 17489392 19675566 26234088 34978784 39351132 52468176 78702264 104936352 157404528 314809056