Search a number
-
+
320416002 = 23217800889
BaseRepresentation
bin10011000110010…
…010100100000010
3211022220211010100
4103012102210002
51124011303002
651443343230
710640330304
oct2306224402
9738824110
10320416002
11154959315
128b381b16
13514c868a
14307a9974
151d1e311c
hex13192902

320416002 has 12 divisors (see below), whose sum is σ = 694234710. Its totient is φ = 106805328.

The previous prime is 320415947. The next prime is 320416081. The reversal of 320416002 is 200614023.

It is a happy number.

320416002 is a `hidden beast` number, since 3 + 20 + 41 + 600 + 2 = 666.

320416002 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., 302446881 + 17969121 = 17391^2 + 4239^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17800889 = 320416002 / (3 + 2 + 0 + 4 + 1 + 6 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8900427 + ... + 8900462.

Almost surely, 2320416002 is an apocalyptic number.

320416002 is an abundant number, since it is smaller than the sum of its proper divisors (373818708).

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

320416002 is a wasteful number, since it uses less digits than its factorization.

320416002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17800897 (or 17800894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320416002 is about 17900.1676528462. The cubic root of 320416002 is about 684.2866475797.

The spelling of 320416002 in words is "three hundred twenty million, four hundred sixteen thousand, two".

Divisors: 1 2 3 6 9 18 17800889 35601778 53402667 106805334 160208001 320416002