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234260752 = 241111311779
BaseRepresentation
bin11011111011010…
…00100100010000
3121022210200100011
431331220210100
5434432321002
635125004304
75543116645
oct1575504420
9538720304
10234260752
11110263630
1266553694
13396c173b
142317ddcc
15158758d7
hexdf68910

234260752 has 40 divisors (see below), whose sum is σ = 499566240. Its totient is φ = 105530880.

The previous prime is 234260717. The next prime is 234260791. The reversal of 234260752 is 257062432.

It is an unprimeable number.

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, 13999 + ... + 25777.

It is an arithmetic number, because the mean of its divisors is an integer number (12489156).

Almost surely, 2234260752 is an apocalyptic number.

234260752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234260752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249783120).

234260752 is an abundant number, since it is smaller than the sum of its proper divisors (265305488).

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

234260752 is a wasteful number, since it uses less digits than its factorization.

234260752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 234260752 is about 15305.5791135128. The cubic root of 234260752 is about 616.4528210390.

The spelling of 234260752 in words is "two hundred thirty-four million, two hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 9944 11779 19888 23558 47116 94232 129569 188464 259138 518276 1036552 1331027 2073104 2662054 5324108 10648216 14641297 21296432 29282594 58565188 117130376 234260752