311787340 has 96 divisors (see below), whose sum is σ = 713603520. Its totient is φ = 114057216.

The previous prime is 311787337. The next prime is 311787349. The reversal of 311787340 is 43787113.

311787340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311787340² = 194422690768551200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311787296 and 311787305.

It is not an unprimeable number, because it can be changed into a prime (311787349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275752 + ... + 2275888.

It is an arithmetic number, because the mean of its divisors is an integer number (7433370).

Almost surely, 2^311787340 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 311787340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

311787340 is an abundant number, since it is smaller than the sum of its proper divisors (401816180).

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

311787340 is a wasteful number, since it uses less digits than its factorization.

311787340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 311787340 is about 17657.5009556845. The cubic root of 311787340 is about 678.0881563509.

The spelling of 311787340 in words is "three hundred eleven million, seven hundred eighty-seven thousand, three hundred forty".