311340000 has 120 divisors (see below), whose sum is σ = 1021454280. Its totient is φ = 83008000.

The previous prime is 311339981. The next prime is 311340017. The reversal of 311340000 is 43113.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57406 + ... + 62594.

It is an arithmetic number, because the mean of its divisors is an integer number (8512119).

Almost surely, 2^311340000 is an apocalyptic number.

311340000 is a gapful number since it is divisible by the number (30) 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 311340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510727140).

311340000 is an abundant number, since it is smaller than the sum of its proper divisors (710114280).

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

311340000 is an equidigital number, since it uses as much as digits as its factorization.

311340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5199 counting only the distinct ones).

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

The square root of 311340000 is about 17644.8292709224. The cubic root of 311340000 is about 677.7637032124.

Adding to 311340000 its reverse (43113), we get a palindrome (311383113).

The spelling of 311340000 in words is "three hundred eleven million, three hundred forty thousand".