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328142376 = 23324557533
BaseRepresentation
bin10011100011110…
…000111000101000
3211212110100201100
4103203300320220
51133001024001
652321121400
711063110212
oct2343607050
9755410640
10328142376
11159256251
1291a89260
1352ca23b3
143181b5b2
151dc1c586
hex138f0e28

328142376 has 24 divisors (see below), whose sum is σ = 888719130. Its totient is φ = 109380768.

The previous prime is 328142351. The next prime is 328142389. The reversal of 328142376 is 673241823.

It is a happy number.

328142376 is a `hidden beast` number, since 3 + 281 + 4 + 2 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 220522500 + 107619876 = 14850^2 + 10374^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 328142376.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2278695 + ... + 2278838.

Almost surely, 2328142376 is an apocalyptic number.

328142376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

328142376 is an abundant number, since it is smaller than the sum of its proper divisors (560576754).

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

328142376 is a wasteful number, since it uses less digits than its factorization.

328142376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557545 (or 4557538 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 328142376 is about 18114.7005495537. The cubic root of 328142376 is about 689.7432188814.

The spelling of 328142376 in words is "three hundred twenty-eight million, one hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4557533 9115066 13672599 18230132 27345198 36460264 41017797 54690396 82035594 109380792 164071188 328142376