311296 has 30 divisors (see below), whose sum is σ = 655340. Its totient is φ = 147456.

The previous prime is 311293. The next prime is 311299. The reversal of 311296 is 692113.

It is an interprime number because it is at equal distance from previous prime (311293) and next prime (311299).

It is not an unprimeable number, because it can be changed into a prime (311291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16375 + ... + 16393.

311296 is a Friedman number, since it can be written as (611-3)*2^9, using all its digits and the basic arithmetic operations.

2³¹¹²⁹⁶ 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 311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327670).

311296 is an abundant number, since it is smaller than the sum of its proper divisors (344044).

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

311296 is an frugal number, since it uses more digits than its factorization.

311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 311296 is about 557.9390647732. The cubic root of 311296 is about 67.7731773481.

The spelling of 311296 in words is "three hundred eleven thousand, two hundred ninety-six".