311331340 has 48 divisors (see below), whose sum is σ = 696568320. Its totient is φ = 116544960.

The previous prime is 311331329. The next prime is 311331341. The reversal of 311331340 is 43133113.

311331340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (311331341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26605 + ... + 36475.

It is an arithmetic number, because the mean of its divisors is an integer number (14511840).

Almost surely, 2^311331340 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 311331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348284160).

311331340 is an abundant number, since it is smaller than the sum of its proper divisors (385236980).

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

311331340 is a wasteful number, since it uses less digits than its factorization.

311331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 311331340 is about 17644.5838715454. The cubic root of 311331340 is about 677.7574190984.

Adding to 311331340 its reverse (43133113), we get a palindrome (354464453).

It can be divided in two parts, 3113 and 31340, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 311331340 in words is "three hundred eleven million, three hundred thirty-one thousand, three hundred forty".