Search a number
-
+
320395264 = 211722349
BaseRepresentation
bin10011000110001…
…101100000000000
3211022212202200021
4103012031200000
51124010122024
651443103224
710640212660
oct2306154000
9738782607
10320395264
11154944782
128b371b14
13514bc0c7
14307a21a0
151d1dbde4
hex1318d800

320395264 has 48 divisors (see below), whose sum is σ = 732186000. Its totient is φ = 137306112.

The previous prime is 320395259. The next prime is 320395289. The reversal of 320395264 is 462593023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162 + ... + 25510.

It is an arithmetic number, because the mean of its divisors is an integer number (15253875).

Almost surely, 2320395264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366093000).

320395264 is an abundant number, since it is smaller than the sum of its proper divisors (411790736).

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

320395264 is an equidigital number, since it uses as much as digits as its factorization.

320395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22378 (or 22358 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 320395264 is about 17899.5883751554. The cubic root of 320395264 is about 684.2718844357.

The spelling of 320395264 in words is "three hundred twenty million, three hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 14336 22349 44698 89396 156443 178792 312886 357584 625772 715168 1251544 1430336 2503088 2860672 5006176 5721344 10012352 11442688 20024704 22885376 40049408 45770752 80098816 160197632 320395264