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313940520 = 23325872057
BaseRepresentation
bin10010101101100…
…101101000101000
3210212201211102200
4102231211220220
51120332044040
651052500200
710531310325
oct2255455050
9725654380
10313940520
11151236183
128917a660
135006c12a
142d9a1b4c
151c864630
hex12b65a28

313940520 has 48 divisors (see below), whose sum is σ = 1020307860. Its totient is φ = 83717376.

The previous prime is 313940519. The next prime is 313940521. The reversal of 313940520 is 25049313.

313940520 is a `hidden beast` number, since 3 + 139 + 4 + 0 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (313940519) and next prime (313940521).

It can be written as a sum of positive squares in 2 ways, for example, as 313927524 + 12996 = 17718^2 + 114^2 .

It is not an unprimeable number, because it can be changed into a prime (313940521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 435669 + ... + 436388.

Almost surely, 2313940520 is an apocalyptic number.

313940520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313940520 is an abundant number, since it is smaller than the sum of its proper divisors (706367340).

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

313940520 is a wasteful number, since it uses less digits than its factorization.

313940520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872074 (or 872067 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 313940520 is about 17718.3667418868. The cubic root of 313940520 is about 679.6455188181.

Adding to 313940520 its reverse (25049313), we get a palindrome (338989833).

The spelling of 313940520 in words is "three hundred thirteen million, nine hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 872057 1744114 2616171 3488228 4360285 5232342 6976456 7848513 8720570 10464684 13080855 15697026 17441140 20929368 26161710 31394052 34882280 39242565 52323420 62788104 78485130 104646840 156970260 313940520