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313134237 = 321317157433
BaseRepresentation
bin10010101010100…
…000110010011101
3210211012212102100
4102222200302131
51120130243422
651023315313
710521411543
oct2252406235
9724185370
10313134237
11150835429
1288a4bb39
134cb49140
142d831d93
151c7557ac
hex12aa0c9d

313134237 has 24 divisors (see below), whose sum is σ = 515753784. Its totient is φ = 181361664.

The previous prime is 313134209. The next prime is 313134319. The reversal of 313134237 is 732431313.

313134237 is a `hidden beast` number, since 313 + 1 + 342 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79227801 + 233906436 = 8901^2 + 15294^2 .

It is not a de Polignac number, because 313134237 - 28 = 313133981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313134237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313134137) 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 23 ways as a sum of consecutive naturals, for example, 76728 + ... + 80705.

It is an arithmetic number, because the mean of its divisors is an integer number (21489741).

Almost surely, 2313134237 is an apocalyptic number.

It is an amenable number.

313134237 is a deficient number, since it is larger than the sum of its proper divisors (202619547).

313134237 is a wasteful number, since it uses less digits than its factorization.

313134237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157469 (or 157466 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 313134237 is about 17695.5993682045. The cubic root of 313134237 is about 679.0631830053.

The spelling of 313134237 in words is "three hundred thirteen million, one hundred thirty-four thousand, two hundred thirty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 157433 472299 1416897 2046629 2676361 6139887 8029083 18419661 24087249 34792693 104378079 313134237