311344 has 40 divisors (see below), whose sum is σ = 691920. Its totient is φ = 134400.

The previous prime is 311341. The next prime is 311347. The reversal of 311344 is 443113.

311344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311341) and next prime (311347).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311344.

It is not an unprimeable number, because it can be changed into a prime (311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5074 + ... + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2³¹¹³⁴⁴ 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 311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345960).

311344 is an abundant number, since it is smaller than the sum of its proper divisors (380576).

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

311344 is a wasteful number, since it uses less digits than its factorization.

311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 311344 is about 557.9820785653. The cubic root of 311344 is about 67.7766605766.

Adding to 311344 its reverse (443113), we get a palindrome (754457).

Subtracting 311344 from its reverse (443113), we obtain a square (131769 = 363²).

The spelling of 311344 in words is "three hundred eleven thousand, three hundred forty-four", and thus it is an iban number.