311744430 has 64 divisors (see below), whose sum is σ = 834969600. Its totient is φ = 82766880.

The previous prime is 311744429. The next prime is 311744473. The reversal of 311744430 is 34447113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311744394 and 311744403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62115 + ... + 66945.

It is an arithmetic number, because the mean of its divisors is an integer number (13046400).

Almost surely, 2^311744430 is an apocalyptic number.

311744430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311744430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417484800).

311744430 is an abundant number, since it is smaller than the sum of its proper divisors (523225170).

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

311744430 is a wasteful number, since it uses less digits than its factorization.

311744430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 311744430 is about 17656.2858495211. The cubic root of 311744430 is about 678.0570474357.

The spelling of 311744430 in words is "three hundred eleven million, seven hundred forty-four thousand, four hundred thirty".