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327332864 = 210373857
BaseRepresentation
bin10011100000101…
…011010000000000
3211210221020021102
4103200223100000
51132244122424
652251513532
711053166135
oct2340532000
9753836242
10327332864
11158853031
12917588a8
1352a7aab1
143168a58c
151db0c7ae
hex1382b400

327332864 has 44 divisors (see below), whose sum is σ = 656865924. Its totient is φ = 163037184.

The previous prime is 327332857. The next prime is 327332869. The reversal of 327332864 is 468233723.

It can be written as a sum of positive squares in 2 ways, for example, as 249892864 + 77440000 = 15808^2 + 8800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327332869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381524 + ... + 382380.

It is an arithmetic number, because the mean of its divisors is an integer number (14928771).

Almost surely, 2327332864 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 327332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328432962).

327332864 is an abundant number, since it is smaller than the sum of its proper divisors (329533060).

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

327332864 is an equidigital number, since it uses as much as digits as its factorization.

327332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1232 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 327332864 is about 18092.3426896574. The cubic root of 327332864 is about 689.1755636709.

The spelling of 327332864 in words is "three hundred twenty-seven million, three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 373 512 746 857 1024 1492 1714 2984 3428 5968 6856 11936 13712 23872 27424 47744 54848 95488 109696 190976 219392 319661 381952 438784 639322 877568 1278644 2557288 5114576 10229152 20458304 40916608 81833216 163666432 327332864