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327405728 = 251334657
BaseRepresentation
bin10011100000111…
…101000010100000
3211211001221020002
4103200331002200
51132303440403
652253235132
711053621436
oct2340750240
9754057202
10327405728
111588a2851
1291792aa8
1352aa5000
14316a8d56
151db24188
hex1383d0a0

327405728 has 48 divisors (see below), whose sum is σ = 698420520. Its totient is φ = 151077888.

The previous prime is 327405653. The next prime is 327405731. The reversal of 327405728 is 827504723.

327405728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 327320464 = 292^2 + 18092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 327405691 and 327405700.

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 7 ways as a sum of consecutive naturals, for example, 67976 + ... + 72632.

Almost surely, 2327405728 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 327405728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349210260).

327405728 is an abundant number, since it is smaller than the sum of its proper divisors (371014792).

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

327405728 is an equidigital number, since it uses as much as digits as its factorization.

327405728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 327405728 is about 18094.3562471838. The cubic root of 327405728 is about 689.2266964965.

The spelling of 327405728 in words is "three hundred twenty-seven million, four hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 4394 4657 5408 8788 9314 17576 18628 35152 37256 60541 70304 74512 121082 149024 242164 484328 787033 968656 1574066 1937312 3148132 6296264 10231429 12592528 20462858 25185056 40925716 81851432 163702864 327405728