320142240 has 192 divisors, whose sum is σ = 1222542720. Its totient is φ = 77598720.

The previous prime is 320142211. The next prime is 320142257. The reversal of 320142240 is 42241023.

320142240 is a `hidden beast` number, since 3 + 201 + 422 + 40 = 666.

320142240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44152 + ... + 50888.

It is an arithmetic number, because the mean of its divisors is an integer number (6367410).

Almost surely, 2^320142240 is an apocalyptic number.

320142240 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 320142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611271360).

320142240 is an abundant number, since it is smaller than the sum of its proper divisors (902400480).

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

320142240 is a wasteful number, since it uses less digits than its factorization.

320142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320142240 is about 17892.5191071576. The cubic root of 320142240 is about 684.0917082329.

Adding to 320142240 its reverse (42241023), we get a palindrome (362383263).

The spelling of 320142240 in words is "three hundred twenty million, one hundred forty-two thousand, two hundred forty".