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232329904 = 2429587853
BaseRepresentation
bin11011101100100…
…01001010110000
3121012011120201021
431312101022300
5433434024104
635015345224
75520525442
oct1566211260
9535146637
10232329904
1110a164994
1265982214
1339196921
1422bda492
15155e3754
hexdd912b0

232329904 has 40 divisors (see below), whose sum is σ = 467001360. Its totient is φ = 111836928.

The previous prime is 232329887. The next prime is 232329947. The reversal of 232329904 is 409923232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 232329904.

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, 271942 + ... + 272794.

It is an arithmetic number, because the mean of its divisors is an integer number (11675034).

Almost surely, 2232329904 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 232329904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233500680).

232329904 is an abundant number, since it is smaller than the sum of its proper divisors (234671456).

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

232329904 is a wasteful number, since it uses less digits than its factorization.

232329904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 232329904 is about 15242.3719938860. The cubic root of 232329904 is about 614.7544828260.

Adding to 232329904 its product of nonzero digits (23328), we get a palindrome (232353232).

The spelling of 232329904 in words is "two hundred thirty-two million, three hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 587 853 1174 1706 2348 3412 4696 6824 9392 13648 17023 24737 34046 49474 68092 98948 136184 197896 272368 395792 500711 1001422 2002844 4005688 8011376 14520619 29041238 58082476 116164952 232329904