34054320 has 80 divisors (see below), whose sum is σ = 107850240. Its totient is φ = 8884992.

The previous prime is 34054309. The next prime is 34054331. The reversal of 34054320 is 2345043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34054309) and next prime (34054331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9771 + ... + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (1348128).

Almost surely, 2^34054320 is an apocalyptic number.

34054320 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 34054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53925120).

34054320 is an abundant number, since it is smaller than the sum of its proper divisors (73795920).

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

34054320 is a wasteful number, since it uses less digits than its factorization.

34054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34054320 is about 5835.6079374817. The cubic root of 34054320 is about 324.1336135399.

Adding to 34054320 its reverse (2345043), we get a palindrome (36399363).

The spelling of 34054320 in words is "thirty-four million, fifty-four thousand, three hundred twenty".