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264345256 = 23723205237
BaseRepresentation
bin11111100000110…
…01011010101000
3200102102010112001
433300121122220
51020133022011
642121500344
76356616610
oct1760313250
9612363461
10264345256
1112624155a
12746416b4
13429c6016
1427171a40
15183197c1
hexfc196a8

264345256 has 32 divisors (see below), whose sum is σ = 591085440. Its totient is φ = 108364608.

The previous prime is 264345253. The next prime is 264345259. The reversal of 264345256 is 652543462.

264345256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264345253) and next prime (264345259).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264345253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101331 + ... + 103906.

It is an arithmetic number, because the mean of its divisors is an integer number (18471420).

Almost surely, 2264345256 is an apocalyptic number.

It is an amenable number.

264345256 is an abundant number, since it is smaller than the sum of its proper divisors (326740184).

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

264345256 is a wasteful number, since it uses less digits than its factorization.

264345256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205273 (or 205269 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 264345256 is about 16258.6978568396. The cubic root of 264345256 is about 641.7863958138.

The spelling of 264345256 in words is "two hundred sixty-four million, three hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 205237 410474 820948 1436659 1641896 2873318 4720451 5746636 9440902 11493272 18881804 33043157 37763608 66086314 132172628 264345256