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326976 = 26313131
BaseRepresentation
bin1001111110101000000
3121121112020
41033311000
540430401
611001440
72531166
oct1176500
9547466
10326976
11203731
12139280
13b5aa0
1487236
1566d36
hex4fd40

326976 has 56 divisors (see below), whose sum is σ = 938784. Its totient is φ = 99840.

The previous prime is 326951. The next prime is 326983. The reversal of 326976 is 679623.

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 326976.

It is an unprimeable number.

326976 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, 2431 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

326976 is a Friedman number, since it can be written as (9^3*7+6)*2^6, using all its digits and the basic arithmetic operations.

2326976 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 326976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469392).

326976 is an abundant number, since it is smaller than the sum of its proper divisors (611808).

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

326976 is a wasteful number, since it uses less digits than its factorization.

326976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 326976 is about 571.8181529123. The cubic root of 326976 is about 68.8925022192.

The spelling of 326976 in words is "three hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 131 156 192 208 262 312 393 416 524 624 786 832 1048 1248 1572 1703 2096 2496 3144 3406 4192 5109 6288 6812 8384 10218 12576 13624 20436 25152 27248 40872 54496 81744 108992 163488 326976