311304 has 64 divisors (see below), whose sum is σ = 950400. Its totient is φ = 82944.

The previous prime is 311303. The next prime is 311323. The reversal of 311304 is 403113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 311304.

It is not an unprimeable number, because it can be changed into a prime (311303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2802 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2³¹¹³⁰⁴ is an apocalyptic number.

311304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

311304 is an abundant number, since it is smaller than the sum of its proper divisors (639096).

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

311304 is a wasteful number, since it uses less digits than its factorization.

311304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 311304 is about 557.9462339688. The cubic root of 311304 is about 67.7737579110.

Adding to 311304 its reverse (403113), we get a palindrome (714417).

Subtracting 311304 from its reverse (403113), we obtain a square (91809 = 303²).

The spelling of 311304 in words is "three hundred eleven thousand, three hundred four", and thus it is an iban number.