311355020 has 72 divisors (see below), whose sum is σ = 687448944. Its totient is φ = 118435072.

The previous prime is 311355013. The next prime is 311355029. The reversal of 311355020 is 20553113.

311355020 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 311354983 and 311355001.

It is not an unprimeable number, because it can be changed into a prime (311355029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1799654 + ... + 1799826.

It is an arithmetic number, because the mean of its divisors is an integer number (9547902).

Almost surely, 2^311355020 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 311355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343724472).

311355020 is an abundant number, since it is smaller than the sum of its proper divisors (376093924).

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

311355020 is a wasteful number, since it uses less digits than its factorization.

311355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 311355020 is about 17645.2548862293. The cubic root of 311355020 is about 677.7746021729.

The spelling of 311355020 in words is "three hundred eleven million, three hundred fifty-five thousand, twenty".