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232032 = 2532417
BaseRepresentation
bin111000101001100000
3102210021210
4320221200
524411112
64550120
71654323
oct705140
9383253
10232032
11149369
12b2340
13817c8
14607ba
1548b3c
hex38a60

232032 has 24 divisors (see below), whose sum is σ = 609336. Its totient is φ = 77312.

The previous prime is 232013. The next prime is 232049. The reversal of 232032 is 230232.

232032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 231999 and 232017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1113 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2232032 is an apocalyptic number.

It is an amenable number.

232032 is an abundant number, since it is smaller than the sum of its proper divisors (377304).

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

232032 is a wasteful number, since it uses less digits than its factorization.

232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232032 is about 481.6970001983. The cubic root of 232032 is about 61.4491615028.

Adding to 232032 its reverse (230232), we get a palindrome (462264).

The spelling of 232032 in words is "two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2417 4834 7251 9668 14502 19336 29004 38672 58008 77344 116016 232032