311434112 has 64 divisors (see below), whose sum is σ = 679797360. Its totient is φ = 140943360.

The previous prime is 311434049. The next prime is 311434129. The reversal of 311434112 is 211434113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×311434112² = 193982412234457088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524888 + ... + 525480.

Almost surely, 2^311434112 is an apocalyptic number.

311434112 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 311434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339898680).

311434112 is an abundant number, since it is smaller than the sum of its proper divisors (368363248).

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

311434112 is a wasteful number, since it uses less digits than its factorization.

311434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 979 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 311434112 is about 17647.4959130184. The cubic root of 311434112 is about 677.8319879083.

Adding to 311434112 its reverse (211434113), we get a palindrome (522868225).

Subtracting from 311434112 its reverse (211434113), we obtain a palindrome (99999999).

The spelling of 311434112 in words is "three hundred eleven million, four hundred thirty-four thousand, one hundred twelve".