321142320 has 100 divisors (see below), whose sum is σ = 1115397360. Its totient is φ = 85636224.

The previous prime is 321142319. The next prime is 321142321. The reversal of 321142320 is 23241123.

It is an interprime number because it is at equal distance from previous prime (321142319) and next prime (321142321).

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

It is a junction number, because it is equal to n+sod(n) for n = 321142293 and 321142302.

It is not an unprimeable number, because it can be changed into a prime (321142321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18300 + ... + 31259.

Almost surely, 2^321142320 is an apocalyptic number.

321142320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321142320 is an abundant number, since it is smaller than the sum of its proper divisors (794255040).

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

321142320 is a wasteful number, since it uses less digits than its factorization.

321142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49584 (or 49569 counting only the distinct ones).

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

The square root of 321142320 is about 17920.4441909234. Note that the first 3 decimals coincide. The cubic root of 321142320 is about 684.8033036751.

Adding to 321142320 its reverse (23241123), we get a palindrome (344383443).

The spelling of 321142320 in words is "three hundred twenty-one million, one hundred forty-two thousand, three hundred twenty".