321342144 has 56 divisors (see below), whose sum is σ = 864187248. Its totient is φ = 105354240.

The previous prime is 321342113. The next prime is 321342157. The reversal of 321342144 is 441243123.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2007 + ... + 25430.

Almost surely, 2^321342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432093624).

321342144 is an abundant number, since it is smaller than the sum of its proper divisors (542845104).

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

321342144 is a wasteful number, since it uses less digits than its factorization.

321342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27513 (or 27503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 321342144 is about 17926.0186321447. The cubic root of 321342144 is about 684.9453090049.

Adding to 321342144 its reverse (441243123), we get a palindrome (762585267).

The spelling of 321342144 in words is "three hundred twenty-one million, three hundred forty-two thousand, one hundred forty-four".