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313631172 = 223229300413
BaseRepresentation
bin10010101100011…
…010000111000100
3210212011010002100
4102230122013010
51120242144142
651042112100
710525551411
oct2254320704
9725133070
10313631172
11151044818
128904b630
134cc9139a
142d921108
151c802b4c
hex12b1a1c4

313631172 has 36 divisors (see below), whose sum is σ = 820130220. Its totient is φ = 100938432.

The previous prime is 313631111. The next prime is 313631179. The reversal of 313631172 is 271136313.

313631172 is a `hidden beast` number, since 3 + 13 + 631 + 17 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177582276 + 136048896 = 13326^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (313631179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149163 + ... + 151250.

It is an arithmetic number, because the mean of its divisors is an integer number (22781395).

Almost surely, 2313631172 is an apocalyptic number.

It is an amenable number.

313631172 is an abundant number, since it is smaller than the sum of its proper divisors (506499048).

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

313631172 is a wasteful number, since it uses less digits than its factorization.

313631172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300452 (or 300447 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 313631172 is about 17709.6350047086. The cubic root of 313631172 is about 679.4222110432.

Adding to 313631172 its reverse (271136313), we get a palindrome (584767485).

The spelling of 313631172 in words is "three hundred thirteen million, six hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 300413 600826 901239 1201652 1802478 2703717 3604956 5407434 8711977 10814868 17423954 26135931 34847908 52271862 78407793 104543724 156815586 313631172