Search a number
-
+
327131264 = 275348221
BaseRepresentation
bin10011011111111…
…010000010000000
3211210112222201202
4103133322002000
51132221200024
652243320332
711051366315
oct2337720200
9753488652
10327131264
11158725619
12916800a8
1352a0a0c5
1431636d0c
151dabcbae
hex137fa080

327131264 has 32 divisors (see below), whose sum is σ = 664016940. Its totient is φ = 160476160.

The previous prime is 327131263. The next prime is 327131269. The reversal of 327131264 is 462131723.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 316840000 + 10291264 = 17800^2 + 3208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (327131263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17327 + ... + 30894.

Almost surely, 2327131264 is an apocalyptic number.

It is an amenable number.

327131264 is an abundant number, since it is smaller than the sum of its proper divisors (336885676).

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

327131264 is an equidigital number, since it uses as much as digits as its factorization.

327131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48288 (or 48276 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 327131264 is about 18086.7704137582. The cubic root of 327131264 is about 689.0340498970.

Adding to 327131264 its reverse (462131723), we get a palindrome (789262987).

The spelling of 327131264 in words is "three hundred twenty-seven million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 48221 96442 192884 385768 771536 1543072 2555713 3086144 5111426 6172288 10222852 20445704 40891408 81782816 163565632 327131264