311432946 has 48 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 93707680.

The previous prime is 311432939. The next prime is 311432969. The reversal of 311432946 is 649234113.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106735 + ... + 109613.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^311432946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311432946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

311432946 is an abundant number, since it is smaller than the sum of its proper divisors (378039054).

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

311432946 is a wasteful number, since it uses less digits than its factorization.

311432946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3044 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 311432946 is about 17647.4628771390. The cubic root of 311432946 is about 677.8311419796.

The spelling of 311432946 in words is "three hundred eleven million, four hundred thirty-two thousand, nine hundred forty-six".