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328976 = 2429709
BaseRepresentation
bin1010000010100010000
3121201021022
41100110100
541011401
611015012
72540054
oct1202420
9551238
10328976
1120518a
1213a468
13b697b
1487c64
156771b
hex50510

328976 has 20 divisors (see below), whose sum is σ = 660300. Its totient is φ = 158592.

The previous prime is 328961. The next prime is 328981. The reversal of 328976 is 679823.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 226576 = 320^2 + 476^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (33015).

2328976 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 328976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330150).

328976 is an abundant number, since it is smaller than the sum of its proper divisors (331324).

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

328976 is a wasteful number, since it uses less digits than its factorization.

328976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 328976 is about 573.5642945651. The cubic root of 328976 is about 69.0326807311.

The spelling of 328976 in words is "three hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 709 1418 2836 5672 11344 20561 41122 82244 164488 328976