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313110040 = 23523340337
BaseRepresentation
bin10010101010011…
…010111000011000
3210211011122020011
4102222122320120
51120124010130
651023011304
710521251155
oct2252327030
9724148204
10313110040
11150819231
1288a39b34
134cb3b119
142d82722c
151c74d52a
hex12a9ae18

313110040 has 32 divisors (see below), whose sum is σ = 735130080. Its totient is φ = 119798272.

The previous prime is 313110037. The next prime is 313110041. The reversal of 313110040 is 40011313.

It is a super-3 number, since 3×3131100403 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313110040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313110041) 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 7 ways as a sum of consecutive naturals, for example, 169249 + ... + 171088.

It is an arithmetic number, because the mean of its divisors is an integer number (22972815).

Almost surely, 2313110040 is an apocalyptic number.

It is an amenable number.

313110040 is an abundant number, since it is smaller than the sum of its proper divisors (422020040).

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

313110040 is a wasteful number, since it uses less digits than its factorization.

313110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340371 (or 340367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 313110040 is about 17694.9156539386. The cubic root of 313110040 is about 679.0456913429.

Adding to 313110040 its reverse (40011313), we get a palindrome (353121353).

The spelling of 313110040 in words is "three hundred thirteen million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 340337 680674 1361348 1701685 2722696 3403370 6806740 7827751 13613480 15655502 31311004 39138755 62622008 78277510 156555020 313110040