320434224 has 160 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 88166400.

The previous prime is 320434201. The next prime is 320434243. The reversal of 320434224 is 422434023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 320434194 and 320434203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259689 + ... + 260919.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^320434224 is an apocalyptic number.

320434224 is a gapful number since it is divisible by the number (34) 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 320434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

320434224 is an abundant number, since it is smaller than the sum of its proper divisors (669502416).

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

320434224 is a wasteful number, since it uses less digits than its factorization.

320434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 320434224 is about 17900.6766352560. The cubic root of 320434224 is about 684.2996190863.

Adding to 320434224 its reverse (422434023), we get a palindrome (742868247).

The spelling of 320434224 in words is "three hundred twenty million, four hundred thirty-four thousand, two hundred twenty-four".