321411312 has 30 divisors (see below), whose sum is σ = 899505672. Its totient is φ = 107137056.

The previous prime is 321411301. The next prime is 321411371. The reversal of 321411312 is 213114123.

It is a super-2 number, since 2×321411312² = 206610462963122688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1115868 + ... + 1116155.

Almost surely, 2^321411312 is an apocalyptic number.

It is an amenable number.

321411312 is an abundant number, since it is smaller than the sum of its proper divisors (578094360).

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

321411312 is a wasteful number, since it uses less digits than its factorization.

321411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232037 (or 2232028 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 321411312 is about 17927.9477910886. The cubic root of 321411312 is about 684.9944496682.

Adding to 321411312 its reverse (213114123), we get a palindrome (534525435).

It can be divided in two parts, 32 and 1411312, that added together give a square (1411344 = 1188²).

The spelling of 321411312 in words is "three hundred twenty-one million, four hundred eleven thousand, three hundred twelve".