331344 has 80 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 100224.

The previous prime is 331339. The next prime is 331349. The reversal of 331344 is 443133.

It is an interprime number because it is at equal distance from previous prime (331339) and next prime (331349).

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 not an unprimeable number, because it can be changed into a prime (331349) by changing a digit.

331344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 5645.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³³¹³⁴⁴ 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 331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

331344 is an abundant number, since it is smaller than the sum of its proper divisors (710256).

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

331344 is a wasteful number, since it uses less digits than its factorization.

331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 331344 is about 575.6248778501. The cubic root of 331344 is about 69.1979194581.

Adding to 331344 its product of digits (432), we get a 4-th power (331776 = 24⁴).

331344 divided by its product of digits (432) gives a palindrome (767).

Adding to 331344 its reverse (443133), we get a palindrome (774477).

The spelling of 331344 in words is "three hundred thirty-one thousand, three hundred forty-four".