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968328 = 23334483
BaseRepresentation
bin11101100011010001000
31211012022000
43230122020
5221441303
632431000
711142054
oct3543210
91735260
10968328
11601579
123a8460
1327b99a
141b2c64
15141da3
hexec688

968328 has 32 divisors (see below), whose sum is σ = 2690400. Its totient is φ = 322704.

The previous prime is 968321. The next prime is 968329. The reversal of 968328 is 823869.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 968292 and 968301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968328.

It is not an unprimeable number, because it can be changed into a prime (968321) by changing a digit.

968328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2026 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (84075).

2968328 is an apocalyptic number.

It is an amenable number.

968328 is an abundant number, since it is smaller than the sum of its proper divisors (1722072).

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

968328 is a wasteful number, since it uses less digits than its factorization.

968328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4488 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 968328 is about 984.0365846858. The cubic root of 968328 is about 98.9329205831.

It can be divided in two parts, 968 and 328, that added together give a 4-th power (1296 = 64).

The spelling of 968328 in words is "nine hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4483 8966 13449 17932 26898 35864 40347 53796 80694 107592 121041 161388 242082 322776 484164 968328