320300032 has 44 divisors (see below), whose sum is σ = 689568796. Its totient is φ = 147824640.

The previous prime is 320300021. The next prime is 320300039. The reversal of 320300032 is 230003023.

320300032 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 2 ways, for example, as 210134016 + 110166016 = 14496^2 + 10496^2 .

It is a super-2 number, since 2×320300032² = 205184220998402048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 320299985 and 320300021.

It is not an unprimeable number, because it can be changed into a prime (320300039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1282 + ... + 25342.

Almost surely, 2^320300032 is an apocalyptic number.

320300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344784398).

320300032 is an abundant number, since it is smaller than the sum of its proper divisors (369268764).

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

320300032 is a wasteful number, since it uses less digits than its factorization.

320300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24094 (or 24076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 320300032 is about 17896.9280045487. The cubic root of 320300032 is about 684.2040816883.

Adding to 320300032 its reverse (230003023), we get a palindrome (550303055).

The spelling of 320300032 in words is "three hundred twenty million, three hundred thousand, thirty-two".