Search a number
-
+
327242042904 = 233719295366701
BaseRepresentation
bin1001100001100010010…
…01010100111000011000
31011021200001122012020010
410300301021110320120
520330142430333104
6410155524401520
732433235320060
oct4606111247030
91137601565203
10327242042904
11116867669347
12535088462a0
1324b219c711a
1411ba518c3a0
1587a4105489
hex4c31254e18

327242042904 has 256 divisors, whose sum is σ = 1037349504000. Its totient is φ = 83907532800.

The previous prime is 327242042891. The next prime is 327242042921. The reversal of 327242042904 is 409240242723.

It is a happy number.

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, 4872754 + ... + 4939454.

It is an arithmetic number, because the mean of its divisors is an integer number (4052146500).

Almost surely, 2327242042904 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 327242042904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518674752000).

327242042904 is an abundant number, since it is smaller than the sum of its proper divisors (710107461096).

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

327242042904 is a wasteful number, since it uses less digits than its factorization.

327242042904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66818 (or 66814 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 327242042904 in words is "three hundred twenty-seven billion, two hundred forty-two million, forty-two thousand, nine hundred four".