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314452520 = 23567311681
BaseRepresentation
bin10010101111100…
…010101000101000
3210220200211202122
4102233202220220
51120444440040
651111450412
710535542124
oct2257425050
9726624678
10314452520
11151555918
1289386a08
13501bb1a5
142da96584
151c9161b5
hex12be2a28

314452520 has 32 divisors (see below), whose sum is σ = 708630120. Its totient is φ = 125583360.

The previous prime is 314452487. The next prime is 314452543. The reversal of 314452520 is 25254413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 229037956 + 85414564 = 15134^2 + 9242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314452520.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21080 + ... + 32760.

Almost surely, 2314452520 is an apocalyptic number.

It is an amenable number.

314452520 is an abundant number, since it is smaller than the sum of its proper divisors (394177600).

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

314452520 is a wasteful number, since it uses less digits than its factorization.

314452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365 (or 12361 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 314452520 is about 17732.8091401222. The cubic root of 314452520 is about 680.0147920658.

The spelling of 314452520 in words is "three hundred fourteen million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 673 1346 2692 3365 5384 6730 11681 13460 23362 26920 46724 58405 93448 116810 233620 467240 7861313 15722626 31445252 39306565 62890504 78613130 157226260 314452520