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232676064 = 253489767
BaseRepresentation
bin11011101111001…
…01101011100000
3121012211011120000
431313211223200
5434031113224
635031020000
75523466605
oct1567455340
9535734500
10232676064
1110a380a75
1265b0a600
133928835a
1422c8a6ac
15156610c9
hexdde5ae0

232676064 has 60 divisors (see below), whose sum is σ = 684301464. Its totient is φ = 77557824.

The previous prime is 232676063. The next prime is 232676069. The reversal of 232676064 is 460676232.

It is a happy number.

232676064 is a `hidden beast` number, since 23 + 26 + 7 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232676063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42292 + ... + 47475.

Almost surely, 2232676064 is an apocalyptic number.

232676064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232676064 is an abundant number, since it is smaller than the sum of its proper divisors (451625400).

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

232676064 is an equidigital number, since it uses as much as digits as its factorization.

232676064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89789 (or 89772 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 232676064 is about 15253.7229553968. The cubic root of 232676064 is about 615.0596491817.

The spelling of 232676064 in words is "two hundred thirty-two million, six hundred seventy-six thousand, 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 89767 179534 269301 359068 538602 718136 807903 1077204 1436272 1615806 2154408 2423709 2872544 3231612 4308816 4847418 6463224 7271127 8617632 9694836 12926448 14542254 19389672 25852896 29084508 38779344 58169016 77558688 116338032 232676064