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234375376 = 2431598009
BaseRepresentation
bin11011111100001…
…00100011010000
3121100000111120111
431332010203100
5440000003001
635131251104
75544105064
oct1576044320
9540014514
10234375376
11110331764
12665a9a94
1339731971
14231adaa4
1515899851
hexdf848d0

234375376 has 40 divisors (see below), whose sum is σ = 476755200. Its totient is φ = 111471360.

The previous prime is 234375371. The next prime is 234375391. The reversal of 234375376 is 673573432.

234375376 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234375371) 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, 25260 + ... + 33268.

It is an arithmetic number, because the mean of its divisors is an integer number (11918880).

Almost surely, 2234375376 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 234375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238377600).

234375376 is an abundant number, since it is smaller than the sum of its proper divisors (242379824).

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

234375376 is a wasteful number, since it uses less digits than its factorization.

234375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8101 counting only the distinct ones).

The product of its digits is 317520, while the sum is 40.

The square root of 234375376 is about 15309.3231724985. The cubic root of 234375376 is about 616.5533482876.

The spelling of 234375376 in words is "two hundred thirty-four million, three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 7316 8009 14632 16018 29264 32036 64072 128144 248279 472531 496558 945062 993116 1890124 1986232 3780248 3972464 7560496 14648461 29296922 58593844 117187688 234375376