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234961328 = 2472299161
BaseRepresentation
bin11100000000100…
…11100110110000
3121101010021100102
432000103212300
5440122230303
635152011532
75552065310
oct1600234660
9541107312
10234961328
111106a1a18
1266830ba8
13398a8594
14232c3440
1515963288
hexe0139b0

234961328 has 40 divisors (see below), whose sum is σ = 522600480. Its totient is φ = 100247040.

The previous prime is 234961313. The next prime is 234961339. The reversal of 234961328 is 823169432.

It is a junction number, because it is equal to n+sod(n) for n = 234961291 and 234961300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21068 + ... + 30228.

It is an arithmetic number, because the mean of its divisors is an integer number (13065012).

Almost surely, 2234961328 is an apocalyptic number.

234961328 is a gapful number since it is divisible by the number (28) 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 234961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261300240).

234961328 is an abundant number, since it is smaller than the sum of its proper divisors (287639152).

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

234961328 is a wasteful number, since it uses less digits than its factorization.

234961328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9399 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 234961328 is about 15328.4483232974. The cubic root of 234961328 is about 617.0667270468.

The spelling of 234961328 in words is "two hundred thirty-four million, nine hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 229 458 916 1603 1832 3206 3664 6412 9161 12824 18322 25648 36644 64127 73288 128254 146576 256508 513016 1026032 2097869 4195738 8391476 14685083 16782952 29370166 33565904 58740332 117480664 234961328