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327852064 = 2553613169
BaseRepresentation
bin10011100010101…
…010000000100000
3211211220121111001
4103202222000200
51132412231224
652311001344
711060460631
oct2342520040
9754817431
10327852064
11159078121
1291969254
1352c00207
1431783888
151dbb1544
hex138aa020

327852064 has 48 divisors (see below), whose sum is σ = 668629080. Its totient is φ = 158146560.

The previous prime is 327852061. The next prime is 327852071. The reversal of 327852064 is 460258723.

It can be written as a sum of positive squares in 4 ways, for example, as 277555600 + 50296464 = 16660^2 + 7092^2 .

It is not an unprimeable number, because it can be changed into a prime (327852061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101872 + ... + 105040.

Almost surely, 2327852064 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 327852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334314540).

327852064 is an abundant number, since it is smaller than the sum of its proper divisors (340777016).

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

327852064 is a wasteful number, since it uses less digits than its factorization.

327852064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 327852064 is about 18106.6856160922. The cubic root of 327852064 is about 689.5397504797.

The spelling of 327852064 in words is "three hundred twenty-seven million, eight hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 53 61 106 122 212 244 424 488 848 976 1696 1952 3169 3233 6338 6466 12676 12932 25352 25864 50704 51728 101408 103456 167957 193309 335914 386618 671828 773236 1343656 1546472 2687312 3092944 5374624 6185888 10245377 20490754 40981508 81963016 163926032 327852064