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232803328 = 210613727
BaseRepresentation
bin11011110000001…
…00110000000000
3121020001122010111
431320010300000
5434044201303
635033441104
75524536622
oct1570046000
9536048114
10232803328
1110a45864a
1265b70194
1339301264
1422cc0c12
1515688b6d
hexde04c00

232803328 has 44 divisors (see below), whose sum is σ = 473135392. Its totient is φ = 114462720.

The previous prime is 232803313. The next prime is 232803331. The reversal of 232803328 is 823308232.

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 232803328.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60601 + ... + 64327.

Almost surely, 2232803328 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 232803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236567696).

232803328 is an abundant number, since it is smaller than the sum of its proper divisors (240332064).

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

232803328 is an equidigital number, since it uses as much as digits as its factorization.

232803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 232803328 is about 15257.8939568998. The cubic root of 232803328 is about 615.1717659778.

The spelling of 232803328 in words is "two hundred thirty-two million, eight hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 3727 3904 7454 7808 14908 15616 29816 31232 59632 62464 119264 227347 238528 454694 477056 909388 954112 1818776 1908224 3637552 3816448 7275104 14550208 29100416 58200832 116401664 232803328