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832328 = 23789167
BaseRepresentation
bin11001011001101001000
31120021201222
43023031020
5203113303
625501212
710034420
oct3131510
91507658
10832328
11519382
12341808
13231b03
14179480
15116938
hexcb348

832328 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 350592.

The previous prime is 832327. The next prime is 832331. The reversal of 832328 is 823238.

It is a junction number, because it is equal to n+sod(n) for n = 832297 and 832306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832328.

It is not an unprimeable number, because it can be changed into a prime (832327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4901 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2832328 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 832328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

832328 is an abundant number, since it is smaller than the sum of its proper divisors (982072).

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

832328 is a wasteful number, since it uses less digits than its factorization.

832328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 832328 is about 912.3201192564. The cubic root of 832328 is about 94.0657454648.

It can be divided in two parts, 83232 and 8, that multiplied together give a square (665856 = 8162).

The spelling of 832328 in words is "eight hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 89 167 178 334 356 623 668 712 1169 1246 1336 2338 2492 4676 4984 9352 14863 29726 59452 104041 118904 208082 416164 832328