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327041424 = 243213916339
BaseRepresentation
bin10011011111100…
…100000110010000
3211210101102111100
4103133210012100
51132210311144
652241344400
711050543353
oct2337440620
9753342440
10327041424
11158674076
1291638100
13529a8248
143161229a
151daa1269
hex137e4190

327041424 has 60 divisors (see below), whose sum is σ = 921902800. Its totient is φ = 108222912.

The previous prime is 327041423. The next prime is 327041431. The reversal of 327041424 is 424140723.

It is not an unprimeable number, because it can be changed into a prime (327041423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11847 + ... + 28185.

Almost surely, 2327041424 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 327041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460951400).

327041424 is an abundant number, since it is smaller than the sum of its proper divisors (594861376).

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

327041424 is a wasteful number, since it uses less digits than its factorization.

327041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16483 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 327041424 is about 18084.2866599709. The cubic root of 327041424 is about 688.9709676897.

The spelling of 327041424 in words is "three hundred twenty-seven million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 16339 20016 32678 49017 65356 98034 130712 147051 196068 261424 294102 392136 588204 784272 1176408 2271121 2352816 4542242 6813363 9084484 13626726 18168968 20440089 27253452 36337936 40880178 54506904 81760356 109013808 163520712 327041424