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325820672 = 289713121
BaseRepresentation
bin10011011010111…
…010000100000000
3211201002101221022
4103122322010000
51131402230142
652155245012
711034300332
oct2332720400
9751071838
10325820672
11157a0a991
1291149768
135266b6c8
14313b5452
151d90e6d2
hex136ba100

325820672 has 36 divisors (see below), whose sum is σ = 657123516. Its totient is φ = 161218560.

The previous prime is 325820669. The next prime is 325820701. The reversal of 325820672 is 276028523.

It can be written as a sum of positive squares in 2 ways, for example, as 91853056 + 233967616 = 9584^2 + 15296^2 .

It is a super-2 number, since 2×3258206722 = 212318220605063168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18272 + ... + 31392.

It is an arithmetic number, because the mean of its divisors is an integer number (18253431).

Almost surely, 2325820672 is an apocalyptic number.

325820672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328561758).

325820672 is an abundant number, since it is smaller than the sum of its proper divisors (331302844).

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

325820672 is an equidigital number, since it uses as much as digits as its factorization.

325820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 325820672 is about 18050.5033724824. The cubic root of 325820672 is about 688.1126550697.

The spelling of 325820672 in words is "three hundred twenty-five million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 13121 24832 26242 52484 104968 209936 419872 839744 1272737 1679488 2545474 3358976 5090948 10181896 20363792 40727584 81455168 162910336 325820672