Search a number
-
+
328677264 = 2434253609
BaseRepresentation
bin10011100101110…
…011011110010000
3211220110112110000
4103211303132100
51133120133024
652340410000
711100465516
oct2345633620
9756415400
10328677264
11159591103
12920a6900
135312b9b6
143191a4b6
151dcc5cc9
hex13973790

328677264 has 50 divisors (see below), whose sum is σ = 951291110. Its totient is φ = 109558656.

The previous prime is 328677233. The next prime is 328677287. The reversal of 328677264 is 462776823.

328677264 is a `hidden beast` number, since 328 + 67 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265950864 + 62726400 = 16308^2 + 7920^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 125509 + ... + 128100.

Almost surely, 2328677264 is an apocalyptic number.

It is an amenable number.

328677264 is an abundant number, since it is smaller than the sum of its proper divisors (622613846).

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

328677264 is a wasteful number, since it uses less digits than its factorization.

328677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253629 (or 253614 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 328677264 is about 18129.4584585420. The cubic root of 328677264 is about 690.1177870753.

The spelling of 328677264 in words is "three hundred twenty-eight million, six hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 253609 507218 760827 1014436 1521654 2028872 2282481 3043308 4057744 4564962 6086616 6847443 9129924 12173232 13694886 18259848 20542329 27389772 36519696 41084658 54779544 82169316 109559088 164338632 328677264