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314525024 = 25111752561
BaseRepresentation
bin10010101111110…
…100010101100000
3210220211112012222
4102233310111200
51121004300044
651113210212
710536263402
oct2257642540
9726745188
10314525024
111515a5340
1289400968
13502151a8
142dab4b72
151c92c8ee
hex12bf4560

314525024 has 48 divisors (see below), whose sum is σ = 715263696. Its totient is φ = 134553600.

The previous prime is 314524979. The next prime is 314525033. The reversal of 314525024 is 420525413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314524984 and 314525002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20297 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (14901327).

Almost surely, 2314525024 is an apocalyptic number.

314525024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314525024 is an abundant number, since it is smaller than the sum of its proper divisors (400738672).

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

314525024 is a wasteful number, since it uses less digits than its factorization.

314525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52599 (or 52591 counting only the distinct ones).

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

The square root of 314525024 is about 17734.8533684381. The cubic root of 314525024 is about 680.0670522115.

The spelling of 314525024 in words is "three hundred fourteen million, five hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 52561 105122 210244 420488 578171 840976 893537 1156342 1681952 1787074 2312684 3574148 4625368 7148296 9250736 9828907 14296592 18501472 19657814 28593184 39315628 78631256 157262512 314525024