311345000 has 80 divisors (see below), whose sum is σ = 740341140. Its totient is φ = 122688000.

The previous prime is 311344993. The next prime is 311345003. The reversal of 311345000 is 543113.

It can be written as a sum of positive squares in 10 ways, for example, as 77193796 + 234151204 = 8786^2 + 15302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 311345000.

It is not an unprimeable number, because it can be changed into a prime (311345003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364574 + ... + 365426.

Almost surely, 2^311345000 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 311345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370170570).

311345000 is an abundant number, since it is smaller than the sum of its proper divisors (428996140).

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

311345000 is an equidigital number, since it uses as much as digits as its factorization.

311345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 311345000 is about 17644.9709549208. The cubic root of 311345000 is about 677.7673314006.

Adding to 311345000 its reverse (543113), we get a palindrome (311888113).

The spelling of 311345000 in words is "three hundred eleven million, three hundred forty-five thousand".