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234308032 = 2674312163
BaseRepresentation
bin11011111011101…
…00000111000000
3121022220002012021
431331310013000
5434440324112
635130011224
75543404540
oct1575640700
9538802167
10234308032
11110296102
1266576b14
133970a10a
1423193320
1515884907
hexdf741c0

234308032 has 56 divisors (see below), whose sum is σ = 543779456. Its totient is φ = 98074368.

The previous prime is 234308029. The next prime is 234308047. The reversal of 234308032 is 230803432.

234308032 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 234307988 and 234308006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13183 + ... + 25345.

Almost surely, 2234308032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271889728).

234308032 is an abundant number, since it is smaller than the sum of its proper divisors (309471424).

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

234308032 is a wasteful number, since it uses less digits than its factorization.

234308032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 234308032 is about 15307.1235704165. The cubic root of 234308032 is about 616.4942903967.

The spelling of 234308032 in words is "two hundred thirty-four million, three hundred eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 9632 12163 19264 24326 48652 85141 97304 170282 194608 340564 389216 523009 681128 778432 1046018 1362256 2092036 2724512 3661063 4184072 5449024 7322126 8368144 14644252 16736288 29288504 33472576 58577008 117154016 234308032