311108040 has 224 divisors, whose sum is σ = 1076561280. Its totient is φ = 80839296.

The previous prime is 311107981. The next prime is 311108047. The reversal of 311108040 is 40801113.

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

It is not an unprimeable number, because it can be changed into a prime (311108047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1370407 + ... + 1370633.

Almost surely, 2^311108040 is an apocalyptic number.

311108040 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 311108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538280640).

311108040 is an abundant number, since it is smaller than the sum of its proper divisors (765453240).

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

311108040 is a wasteful number, since it uses less digits than its factorization.

311108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 311108040 is about 17638.2550157321. The cubic root of 311108040 is about 677.5953415839.

Adding to 311108040 its reverse (40801113), we get a palindrome (351909153).

The spelling of 311108040 in words is "three hundred eleven million, one hundred eight thousand, forty".