311434432 has 56 divisors (see below), whose sum is σ = 646338560. Its totient is φ = 148711680.

The previous prime is 311434411. The next prime is 311434433. The reversal of 311434432 is 234434113.

It is a junction number, because it is equal to n+sod(n) for n = 311434397 and 311434406.

It is not an unprimeable number, because it can be changed into a prime (311434433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155743 + ... + 157729.

It is an arithmetic number, because the mean of its divisors is an integer number (11541760).

Almost surely, 2^311434432 is an apocalyptic number.

311434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323169280).

311434432 is an abundant number, since it is smaller than the sum of its proper divisors (334904128).

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

311434432 is a wasteful number, since it uses less digits than its factorization.

311434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2099 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 311434432 is about 17647.5049794581. The cubic root of 311434432 is about 677.8322200667.

Adding to 311434432 its reverse (234434113), we get a palindrome (545868545).

The spelling of 311434432 in words is "three hundred eleven million, four hundred thirty-four thousand, four hundred thirty-two".