311048640 has 448 divisors, whose sum is σ = 1297228800. Its totient is φ = 68677632.

The previous prime is 311048629. The next prime is 311048653. The reversal of 311048640 is 46840113.

311048640 is a `hidden beast` number, since 3 + 1 + 10 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2237691 + ... + 2237829.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^311048640 is an apocalyptic number.

311048640 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 311048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648614400).

311048640 is an abundant number, since it is smaller than the sum of its proper divisors (986180160).

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

311048640 is a wasteful number, since it uses less digits than its factorization.

311048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 311048640 is about 17636.5710953121. The cubic root of 311048640 is about 677.5522143098.

Adding to 311048640 its reverse (46840113), we get a palindrome (357888753).

The spelling of 311048640 in words is "three hundred eleven million, forty-eight thousand, six hundred forty".