34312032 has 96 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 11318400.

The previous prime is 34312027. The next prime is 34312049. The reversal of 34312032 is 23021343.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34311996 and 34312014.

It is a congruent number.

It is an unprimeable number.

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, 130333 + ... + 130595.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 2^34312032 is an apocalyptic number.

34312032 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 34312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

34312032 is an abundant number, since it is smaller than the sum of its proper divisors (66810528).

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

34312032 is a wasteful number, since it uses less digits than its factorization.

34312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34312032 is about 5857.6473092872. The cubic root of 34312032 is about 324.9492054739.

Adding to 34312032 its reverse (23021343), we get a palindrome (57333375).

The spelling of 34312032 in words is "thirty-four million, three hundred twelve thousand, thirty-two".