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234232992 = 2533738729
BaseRepresentation
bin11011111011000…
…01110010100000
3121022202021021000
431331201302200
5434430423432
635124232000
75542643010
oct1575416240
9538667230
10234232992
11110244794
126653b600
13396b1c06
1423173c40
151586c57c
hexdf61ca0

234232992 has 96 divisors (see below), whose sum is σ = 780796800. Its totient is φ = 66921984.

The previous prime is 234232967. The next prime is 234233003. The reversal of 234232992 is 299232432.

234232992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13317 + ... + 25412.

It is an arithmetic number, because the mean of its divisors is an integer number (8133300).

Almost surely, 2234232992 is an apocalyptic number.

It is an amenable number.

234232992 is an abundant number, since it is smaller than the sum of its proper divisors (546563808).

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

234232992 is a wasteful number, since it uses less digits than its factorization.

234232992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38755 (or 38741 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 234232992 is about 15304.6722277872. The cubic root of 234232992 is about 616.4284701022.

The spelling of 234232992 in words is "two hundred thirty-four million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 38729 77458 116187 154916 232374 271103 309832 348561 464748 542206 619664 697122 813309 929496 1045683 1084412 1239328 1394244 1626618 1858992 2091366 2168824 2439927 2788488 3253236 3717984 4182732 4337648 4879854 5576976 6506472 7319781 8365464 8675296 9759708 11153952 13012944 14639562 16730928 19519416 26025888 29279124 33461856 39038832 58558248 78077664 117116496 234232992