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234879264 = 253490617
BaseRepresentation
bin11011111111111…
…11100100100000
3121100222002210000
431333333210200
5440112114024
635150140000
75551304124
oct1577774440
9540862700
10234879264
111106462a4
12667b1600
133987a119
14232a1584
1515948cc9
hexdfff920

234879264 has 60 divisors (see below), whose sum is σ = 690781014. Its totient is φ = 78292224.

The previous prime is 234879241. The next prime is 234879299. The reversal of 234879264 is 462978432.

234879264 is a `hidden beast` number, since 23 + 487 + 92 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120560400 + 114318864 = 10980^2 + 10692^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42717 + ... + 47900.

Almost surely, 2234879264 is an apocalyptic number.

234879264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234879264 is an abundant number, since it is smaller than the sum of its proper divisors (455901750).

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

234879264 is an equidigital number, since it uses as much as digits as its factorization.

234879264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90639 (or 90622 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 234879264 is about 15325.7712367111. The cubic root of 234879264 is about 616.9948785417.

The spelling of 234879264 in words is "two hundred thirty-four million, eight hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 90617 181234 271851 362468 543702 724936 815553 1087404 1449872 1631106 2174808 2446659 2899744 3262212 4349616 4893318 6524424 7339977 8699232 9786636 13048848 14679954 19573272 26097696 29359908 39146544 58719816 78293088 117439632 234879264