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327800064 = 2831073989
BaseRepresentation
bin10011100010011…
…101010100000000
3211211210222011010
4103202131110000
51132404100224
652305520520
711060153214
oct2342352400
9754728133
10327800064
11159042049
1291943140
1352bb2647
143176c944
151dba0e29
hex1389d500

327800064 has 72 divisors (see below), whose sum is σ = 880800480. Its totient is φ = 108218368.

The previous prime is 327800063. The next prime is 327800087. The reversal of 327800064 is 460008723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327800063) 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 7 ways as a sum of consecutive naturals, for example, 80182 + ... + 84170.

It is an arithmetic number, because the mean of its divisors is an integer number (12233340).

Almost surely, 2327800064 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 327800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440400240).

327800064 is an abundant number, since it is smaller than the sum of its proper divisors (553000416).

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

327800064 is a wasteful number, since it uses less digits than its factorization.

327800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 327800064 is about 18105.2496254539. The cubic root of 327800064 is about 689.5032930173.

Adding to 327800064 its reverse (460008723), we get a palindrome (787808787).

The spelling of 327800064 in words is "three hundred twenty-seven million, eight hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 642 768 856 1284 1712 2568 3424 3989 5136 6848 7978 10272 11967 13696 15956 20544 23934 27392 31912 41088 47868 63824 82176 95736 127648 191472 255296 382944 426823 510592 765888 853646 1021184 1280469 1531776 1707292 2560938 3063552 3414584 5121876 6829168 10243752 13658336 20487504 27316672 40975008 54633344 81950016 109266688 163900032 327800064