34312080 has 160 divisors (see below), whose sum is σ = 119242368. Its totient is φ = 8089600.

The previous prime is 34312063. The next prime is 34312087. The reversal of 34312080 is 8021343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312087) 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 31 ways as a sum of consecutive naturals, for example, 108082 + ... + 108398.

Almost surely, 2^34312080 is an apocalyptic number.

34312080 is a gapful number since it is divisible by the number (30) 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 34312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621184).

34312080 is an abundant number, since it is smaller than the sum of its proper divisors (84930288).

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

34312080 is a wasteful number, since it uses less digits than its factorization.

34312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34312080 is about 5857.6514064939. The cubic root of 34312080 is about 324.9493570005.

The spelling of 34312080 in words is "thirty-four million, three hundred twelve thousand, eighty".