Search a number
-
+
328637322 = 232133314243
BaseRepresentation
bin10011100101101…
…001101110001010
3211220101111122200
4103211221232022
51133112343242
652335501030
711100241206
oct2345515612
9756344580
10328637322
111595640a2
1292087776
1353116770
1431909b06
151dcb904c
hex13969b8a

328637322 has 48 divisors (see below), whose sum is σ = 769318368. Its totient is φ = 100789920.

The previous prime is 328637321. The next prime is 328637327. The reversal of 328637322 is 223736823.

It is a happy number.

328637322 is a `hidden beast` number, since 3 + 286 + 373 + 2 + 2 = 666.

It is a super-2 number, since 2×3286373222 = 216004978822663368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328637321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75333 + ... + 79575.

It is an arithmetic number, because the mean of its divisors is an integer number (16027466).

Almost surely, 2328637322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328637322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384659184).

328637322 is an abundant number, since it is smaller than the sum of its proper divisors (440681046).

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

328637322 is a wasteful number, since it uses less digits than its factorization.

328637322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4592 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 328637322 is about 18128.3568477675. The cubic root of 328637322 is about 690.0898307745.

The spelling of 328637322 in words is "three hundred twenty-eight million, six hundred thirty-seven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1986 2979 4243 4303 5958 8486 8606 12729 12909 25458 25818 38187 38727 55159 76374 77454 110318 165477 330954 496431 992862 1404433 2808866 4213299 8426598 12639897 18257629 25279794 36515258 54772887 109545774 164318661 328637322