311320 has 32 divisors (see below), whose sum is σ = 720720. Its totient is φ = 120960.

The previous prime is 311303. The next prime is 311323. The reversal of 311320 is 23113.

311320 = 137² + 138² + ... + 151².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 311297 and 311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323) 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, 1630 + ... + 1810.

2³¹¹³²⁰ 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 311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

311320 is an abundant number, since it is smaller than the sum of its proper divisors (409400).

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

311320 is a wasteful number, since it uses less digits than its factorization.

311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 311320 is about 557.9605720837. The cubic root of 311320 is about 67.7749190071.

Adding to 311320 its reverse (23113), we get a palindrome (334433).

The spelling of 311320 in words is "three hundred eleven thousand, three hundred twenty", and thus it is an iban number.