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320904 = 23324457
BaseRepresentation
bin1001110010110001000
3121022012100
41032112020
540232104
610513400
72504403
oct1162610
9538170
10320904
111aa111
12135860
13b30ac
1484d3a
1565139
hex4e588

320904 has 24 divisors (see below), whose sum is σ = 869310. Its totient is φ = 106944.

The previous prime is 320899. The next prime is 320911. The reversal of 320904 is 409023.

320904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 72900 = 498^2 + 270^2 .

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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320904.

It is an unprimeable number.

320904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2157 + ... + 2300.

2320904 is an apocalyptic number.

It is an amenable number.

320904 is an abundant number, since it is smaller than the sum of its proper divisors (548406).

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

320904 is a wasteful number, since it uses less digits than its factorization.

320904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320904 is about 566.4838920923. The cubic root of 320904 is about 68.4633864042.

Adding to 320904 its reverse (409023), we get a palindrome (729927).

The spelling of 320904 in words is "three hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4457 8914 13371 17828 26742 35656 40113 53484 80226 106968 160452 320904