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312525320 = 2357813133
BaseRepresentation
bin10010101000001…
…100001000001000
3210210001221010212
4102220030020020
51120001302240
651002300252
710513264352
oct2250141010
9723057125
10312525320
11150459998
12887b7688
134c994c33
142d7140d2
151c685165
hex12a0c208

312525320 has 16 divisors (see below), whose sum is σ = 703182060. Its totient is φ = 125010112.

The previous prime is 312525293. The next prime is 312525341. The reversal of 312525320 is 23525213.

312525320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 275095396 + 37429924 = 16586^2 + 6118^2 .

It is a super-2 number, since 2×3125253202 = 195344151282204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3906527 + ... + 3906606.

Almost surely, 2312525320 is an apocalyptic number.

It is an amenable number.

312525320 is an abundant number, since it is smaller than the sum of its proper divisors (390656740).

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

312525320 is a wasteful number, since it uses less digits than its factorization.

312525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813144 (or 7813140 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 312525320 is about 17678.3856729058. The cubic root of 312525320 is about 678.6227314015.

The spelling of 312525320 in words is "three hundred twelve million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 7813133 15626266 31252532 39065665 62505064 78131330 156262660 312525320