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234053313 = 31323311839
BaseRepresentation
bin11011111001101…
…01111011000001
3121022102010210020
431330311323001
5434404201223
635120324053
75541264114
oct1574657301
9538363706
10234053313
1111013179a
1266473629
133964b1b0
142312857b
15158341e3
hexdf35ec1

234053313 has 32 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 137163840.

The previous prime is 234053299. The next prime is 234053327. The reversal of 234053313 is 313350432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234053299) and next prime (234053327).

It is not a de Polignac number, because 234053313 - 29 = 234052801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234053363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278548 + ... + 279386.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2234053313 is an apocalyptic number.

234053313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

234053313 is a deficient number, since it is larger than the sum of its proper divisors (118182207).

234053313 is a wasteful number, since it uses less digits than its factorization.

234053313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 234053313 is about 15298.8010314534. The cubic root of 234053313 is about 616.2708100117.

The spelling of 234053313 in words is "two hundred thirty-four million, fifty-three thousand, three hundred thirteen".

Divisors: 1 3 13 23 39 69 299 311 839 897 933 2517 4043 7153 10907 12129 19297 21459 32721 57891 92989 250861 260929 278967 752583 782787 3392077 6001367 10176231 18004101 78017771 234053313