311117240 has 128 divisors (see below), whose sum is σ = 838840320. Its totient is φ = 101606400.

The previous prime is 311117239. The next prime is 311117281. The reversal of 311117240 is 42711113.

It is a happy number.

311117240 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633395 + ... + 633885.

It is an arithmetic number, because the mean of its divisors is an integer number (6553440).

Almost surely, 2^311117240 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 311117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419420160).

311117240 is an abundant number, since it is smaller than the sum of its proper divisors (527723080).

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

311117240 is a wasteful number, since it uses less digits than its factorization.

311117240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 311117240 is about 17638.5158105777. The cubic root of 311117240 is about 677.6020207381.

Adding to 311117240 its reverse (42711113), we get a palindrome (353828353).

The spelling of 311117240 in words is "three hundred eleven million, one hundred seventeen thousand, two hundred forty".