Search a number
-
+
320233104 = 24322223841
BaseRepresentation
bin10011000101100…
…101111010010000
3211022120112020100
4103011211322100
51123434424404
651435412400
710635636132
oct2305457220
9738515210
10320233104
11154843964
128b2b4100
1351463359
143075d052
151d1a8d39
hex13165e90

320233104 has 30 divisors (see below), whose sum is σ = 896208326. Its totient is φ = 106744320.

The previous prime is 320233091. The next prime is 320233139. The reversal of 320233104 is 401332023.

320233104 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., 232623504 + 87609600 = 15252^2 + 9360^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1111777 + ... + 1112064.

Almost surely, 2320233104 is an apocalyptic number.

It is an amenable number.

320233104 is an abundant number, since it is smaller than the sum of its proper divisors (575975222).

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

320233104 is a wasteful number, since it uses less digits than its factorization.

320233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223855 (or 2223846 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320233104 is about 17895.0580887574. The cubic root of 320233104 is about 684.1564226227.

Adding to 320233104 its reverse (401332023), we get a palindrome (721565127).

The spelling of 320233104 in words is "three hundred twenty million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2223841 4447682 6671523 8895364 13343046 17790728 20014569 26686092 35581456 40029138 53372184 80058276 106744368 160116552 320233104