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268014264 = 23371595323
BaseRepresentation
bin11111111100110…
…01001010111000
3200200022112110020
433332121022320
51022102424024
642332250440
76433040460
oct1776311270
9620275406
10268014264
111283180a1
1275910a20
13436ac02b
1427848ba0
15187e1979
hexff992b8

268014264 has 32 divisors (see below), whose sum is σ = 765755520. Its totient is φ = 76575456.

The previous prime is 268014233. The next prime is 268014281. The reversal of 268014264 is 462410862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797494 + ... + 797829.

It is an arithmetic number, because the mean of its divisors is an integer number (23929860).

Almost surely, 2268014264 is an apocalyptic number.

268014264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268014264 is an abundant number, since it is smaller than the sum of its proper divisors (497741256).

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

268014264 is a wasteful number, since it uses less digits than its factorization.

268014264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595339 (or 1595335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 268014264 is about 16371.1411941868. The cubic root of 268014264 is about 644.7420108781.

It can be divided in two parts, 268014 and 264, that added together give a triangular number (268278 = T732).

The spelling of 268014264 in words is "two hundred sixty-eight million, fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1595323 3190646 4785969 6381292 9571938 11167261 12762584 19143876 22334522 33501783 38287752 44669044 67003566 89338088 134007132 268014264