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314819808 = 25311329021
BaseRepresentation
bin10010110000111…
…100010011100000
3210221101111120220
4102300330103200
51121043213213
651123403040
710541632002
oct2260742340
9727344526
10314819808
11151786866
1289523480
13502b9414
142db50372
151c989e23
hex12c3c4e0

314819808 has 48 divisors (see below), whose sum is σ = 833744016. Its totient is φ = 104007680.

The previous prime is 314819803. The next prime is 314819851. The reversal of 314819808 is 808918413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3148198082 = 198223023018313728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314819808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314819803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3663 + ... + 25358.

It is an arithmetic number, because the mean of its divisors is an integer number (17369667).

Almost surely, 2314819808 is an apocalyptic number.

It is an amenable number.

314819808 is an abundant number, since it is smaller than the sum of its proper divisors (518924208).

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

314819808 is a wasteful number, since it uses less digits than its factorization.

314819808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29147 (or 29139 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 314819808 is about 17743.1622886114. The cubic root of 314819808 is about 680.2794468523.

The spelling of 314819808 in words is "three hundred fourteen million, eight hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 29021 58042 87063 116084 174126 232168 348252 464336 696504 928672 1393008 2786016 3279373 6558746 9838119 13117492 19676238 26234984 39352476 52469968 78704952 104939936 157409904 314819808