311352048 has 120 divisors (see below), whose sum is σ = 999440000. Its totient is φ = 88636032.

The previous prime is 311352043. The next prime is 311352053. The reversal of 311352048 is 840253113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311352043) and next prime (311352053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311352043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502683 + ... + 503301.

Almost surely, 2^311352048 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 311352048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499720000).

311352048 is an abundant number, since it is smaller than the sum of its proper divisors (688087952).

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

311352048 is a wasteful number, since it uses less digits than its factorization.

311352048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 311352048 is about 17645.1706707529. The cubic root of 311352048 is about 677.7724456288.

The spelling of 311352048 in words is "three hundred eleven million, three hundred fifty-two thousand, forty-eight".