320431140 has 120 divisors (see below), whose sum is σ = 1013147520. Its totient is φ = 84773952.

The previous prime is 320431093. The next prime is 320431169. The reversal of 320431140 is 41134023.

It is a super-2 number, since 2×320431140² = 205352230963399200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224469 + ... + 225891.

It is an arithmetic number, because the mean of its divisors is an integer number (8442896).

Almost surely, 2^320431140 is an apocalyptic number.

320431140 is a gapful number since it is divisible by the number (30) 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 320431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506573760).

320431140 is an abundant number, since it is smaller than the sum of its proper divisors (692716380).

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

320431140 is a wasteful number, since it uses less digits than its factorization.

320431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

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

The square root of 320431140 is about 17900.5904930536. The cubic root of 320431140 is about 684.2974237457.

Adding to 320431140 its reverse (41134023), we get a palindrome (361565163).

The spelling of 320431140 in words is "three hundred twenty million, four hundred thirty-one thousand, one hundred forty".