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234163008 = 2633135511
BaseRepresentation
bin11011111010100…
…00101101000000
3121022121201021000
431331100231000
5434421204013
635122532000
75542231662
oct1575205500
9538551230
10234163008
111101a7152
1266507000
13396890c1
1423156532
1515856973
hexdf50b40

234163008 has 56 divisors (see below), whose sum is σ = 688400960. Its totient is φ = 78053760.

The previous prime is 234162991. The next prime is 234163009. The reversal of 234163008 is 800361432.

It is a happy number.

234163008 is a `hidden beast` number, since 23 + 4 + 1 + 630 + 0 + 8 = 666.

234163008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234163009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66028 + ... + 69483.

Almost surely, 2234163008 is an apocalyptic number.

It is an amenable number.

234163008 is an abundant number, since it is smaller than the sum of its proper divisors (454237952).

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

234163008 is a wasteful number, since it uses less digits than its factorization.

234163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135532 (or 135516 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 234163008 is about 15302.3856963547. The cubic root of 234163008 is about 616.3670719378.

The spelling of 234163008 in words is "two hundred thirty-four million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 135511 271022 406533 542044 813066 1084088 1219599 1626132 2168176 2439198 3252264 3658797 4336352 4878396 6504528 7317594 8672704 9756792 13009056 14635188 19513584 26018112 29270376 39027168 58540752 78054336 117081504 234163008