34314320 has 40 divisors (see below), whose sum is σ = 81296136. Its totient is φ = 13465088.

The previous prime is 34314289. The next prime is 34314349. The reversal of 34314320 is 2341343.

It can be written as a sum of positive squares in 4 ways, for example, as 5326864 + 28987456 = 2308^2 + 5384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34314292 and 34314301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 8286.

Almost surely, 2^34314320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40648068).

34314320 is an abundant number, since it is smaller than the sum of its proper divisors (46981816).

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

34314320 is a wasteful number, since it uses less digits than its factorization.

34314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34314320 is about 5857.8426062843. The cubic root of 34314320 is about 324.9564280837.

Adding to 34314320 its reverse (2341343), we get a palindrome (36655663).

The spelling of 34314320 in words is "thirty-four million, three hundred fourteen thousand, three hundred twenty".