34312416 has 24 divisors (see below), whose sum is σ = 90070344. Its totient is φ = 11437440.

The previous prime is 34312393. The next prime is 34312417. The reversal of 34312416 is 61421343.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178615 + ... + 178806.

It is an arithmetic number, because the mean of its divisors is an integer number (3752931).

Almost surely, 2^34312416 is an apocalyptic number.

It is an amenable number.

34312416 is an abundant number, since it is smaller than the sum of its proper divisors (55757928).

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

34312416 is a wasteful number, since it uses less digits than its factorization.

34312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357434 (or 357426 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34312416 is about 5857.6800868603. The cubic root of 34312416 is about 324.9504176826.

Adding to 34312416 its reverse (61421343), we get a palindrome (95733759).

The spelling of 34312416 in words is "thirty-four million, three hundred twelve thousand, four hundred sixteen".