311423904 has 144 divisors (see below), whose sum is σ = 972972000. Its totient is φ = 93703680.

The previous prime is 311423891. The next prime is 311423909. The reversal of 311423904 is 409324113.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (311423909) 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, 623847 + ... + 624345.

It is an arithmetic number, because the mean of its divisors is an integer number (6756750).

Almost surely, 2^311423904 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 311423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486486000).

311423904 is an abundant number, since it is smaller than the sum of its proper divisors (661548096).

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

311423904 is a wasteful number, since it uses less digits than its factorization.

311423904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 311423904 is about 17647.2066911452. The cubic root of 311423904 is about 677.8245819709.

The spelling of 311423904 in words is "three hundred eleven million, four hundred twenty-three thousand, nine hundred four".