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32328 = 2332449
BaseRepresentation
bin111111001001000
31122100100
413321020
52013303
6405400
7163152
oct77110
948310
1032328
112231a
1216860
131193a
14bad2
1598a3
hex7e48

32328 has 24 divisors (see below), whose sum is σ = 87750. Its totient is φ = 10752.

The previous prime is 32327. The next prime is 32341. The reversal of 32328 is 82323.

32328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26244 + 6084 = 162^2 + 78^2 .

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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 32328.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32328.

It is not an unprimeable number, because it can be changed into a prime (32321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153 + ... + 296.

232328 is an apocalyptic number.

It is an amenable number.

32328 is an abundant number, since it is smaller than the sum of its proper divisors (55422).

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

32328 is a wasteful number, since it uses less digits than its factorization.

32328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 32328 is about 179.7998887653. The cubic root of 32328 is about 31.8561249267.

It can be divided in two parts, 3232 and 8, that added together give a triangular number (3240 = T80).

The spelling of 32328 in words is "thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 449 898 1347 1796 2694 3592 4041 5388 8082 10776 16164 32328