34310112 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 10644480.

The previous prime is 34310041. The next prime is 34310113. The reversal of 34310112 is 21101343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34310091 and 34310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34310113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90339 + ... + 90717.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^34310112 is an apocalyptic number.

34310112 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 34310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34310112 is an abundant number, since it is smaller than the sum of its proper divisors (62215968).

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

34310112 is a wasteful number, since it uses less digits than its factorization.

34310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34310112 is about 5857.4834186705. The cubic root of 34310112 is about 324.9431442948.

Adding to 34310112 its reverse (21101343), we get a palindrome (55411455).

The spelling of 34310112 in words is "thirty-four million, three hundred ten thousand, one hundred twelve".