311442020 has 48 divisors (see below), whose sum is σ = 681912000. Its totient is φ = 119333760.

The previous prime is 311441993. The next prime is 311442031. The reversal of 311442020 is 20244113.

It is a super-2 number, since 2×311442020² = 193992263643360800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311442020.

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 15 ways as a sum of consecutive naturals, for example, 73931 + ... + 78029.

It is an arithmetic number, because the mean of its divisors is an integer number (14206500).

Almost surely, 2^311442020 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 311442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340956000).

311442020 is an abundant number, since it is smaller than the sum of its proper divisors (370469980).

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

311442020 is a wasteful number, since it uses less digits than its factorization.

311442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 311442020 is about 17647.7199660466. The cubic root of 311442020 is about 677.8377250768.

Adding to 311442020 its reverse (20244113), we get a palindrome (331686133).

The spelling of 311442020 in words is "three hundred eleven million, four hundred forty-two thousand, twenty".