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313685952 = 2637123011
BaseRepresentation
bin10010101100100…
…111011111000000
3210212020220020020
4102230213133000
51120300422302
651043213440
710526200206
oct2254473700
9725226206
10313685952
11151081998
1289077280
134ccb02b8
142d937076
151c813ebc
hex12b277c0

313685952 has 56 divisors (see below), whose sum is σ = 841686912. Its totient is φ = 103084800.

The previous prime is 313685947. The next prime is 313685969. The reversal of 313685952 is 259586313.

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, 2127 + ... + 25137.

Almost surely, 2313685952 is an apocalyptic number.

313685952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420843456).

313685952 is an abundant number, since it is smaller than the sum of its proper divisors (528000960).

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

313685952 is a wasteful number, since it uses less digits than its factorization.

313685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23097 (or 23087 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 313685952 is about 17711.1815529061. The cubic root of 313685952 is about 679.4617655532.

The spelling of 313685952 in words is "three hundred thirteen million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632 23011 46022 69033 92044 138066 184088 276132 368176 552264 736352 1104528 1472704 1633781 2209056 3267562 4418112 4901343 6535124 9802686 13070248 19605372 26140496 39210744 52280992 78421488 104561984 156842976 313685952