311312340 has 144 divisors (see below), whose sum is σ = 1000883520. Its totient is φ = 78105600.

The previous prime is 311312329. The next prime is 311312363. The reversal of 311312340 is 43213113.

311312340 is a `hidden beast` number, since 3 + 11 + 312 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776140 + ... + 776540.

It is an arithmetic number, because the mean of its divisors is an integer number (6950580).

Almost surely, 2^311312340 is an apocalyptic number.

311312340 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 311312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500441760).

311312340 is an abundant number, since it is smaller than the sum of its proper divisors (689571180).

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

311312340 is a wasteful number, since it uses less digits than its factorization.

311312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 311312340 is about 17644.0454544869. The cubic root of 311312340 is about 677.7436313732.

Adding to 311312340 its reverse (43213113), we get a palindrome (354525453).

The spelling of 311312340 in words is "three hundred eleven million, three hundred twelve thousand, three hundred forty".