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327300480 = 27335133147
BaseRepresentation
bin10011100000100…
…011010110000000
3211210212120212000
4103200203112000
51132242103410
652251104000
711053002543
oct2340432600
9753776760
10327300480
11158830771
1291742000
1352a69130
143167c85a
151db02dc0
hex13823580

327300480 has 512 divisors, whose sum is σ = 1316044800. Its totient is φ = 76308480.

The previous prime is 327300469. The next prime is 327300497. The reversal of 327300480 is 84003723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6963817 + ... + 6963863.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2327300480 is an apocalyptic number.

327300480 is a gapful number since it is divisible by the number (30) 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 327300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

327300480 is an abundant number, since it is smaller than the sum of its proper divisors (988744320).

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

327300480 is a wasteful number, since it uses less digits than its factorization.

327300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 327300480 is about 18091.4477032658. The cubic root of 327300480 is about 689.1528355350.

The spelling of 327300480 in words is "three hundred twenty-seven million, three hundred thousand, four hundred eighty".