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327489344 = 26721329277
BaseRepresentation
bin10011100001010…
…001011101000000
3211211020011220222
4103201101131000
51132314124334
652255122212
711054420300
oct2341213500
9754204828
10327489344
1115894a656
1291813368
1352b040a0
14316cb600
151db3dd2e
hex13851740

327489344 has 168 divisors, whose sum is σ = 845225640. Its totient is φ = 124637184.

The previous prime is 327489319. The next prime is 327489347. The reversal of 327489344 is 443984723.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 327175744 = 560^2 + 18088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 327489295 and 327489304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327489347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1182134 + ... + 1182410.

It is an arithmetic number, because the mean of its divisors is an integer number (5031105).

Almost surely, 2327489344 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 327489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422612820).

327489344 is an abundant number, since it is smaller than the sum of its proper divisors (517736296).

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

327489344 is a wasteful number, since it uses less digits than its factorization.

327489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 327489344 is about 18096.6666543869. Note that the first 4 decimals coincide. The cubic root of 327489344 is about 689.2853652665.

The spelling of 327489344 in words is "three hundred twenty-seven million, four hundred eighty-nine thousand, three hundred forty-four".