34321300 has 72 divisors (see below), whose sum is σ = 84978936. Its totient is φ = 11919360.

The previous prime is 34321291. The next prime is 34321319. The reversal of 34321300 is 312343.

It can be written as a sum of positive squares in 12 ways, for example, as 18096516 + 16224784 = 4254^2 + 4028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21324 + ... + 22876.

It is an arithmetic number, because the mean of its divisors is an integer number (1180263).

Almost surely, 2^34321300 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 34321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42489468).

34321300 is an abundant number, since it is smaller than the sum of its proper divisors (50657636).

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

34321300 is a wasteful number, since it uses less digits than its factorization.

34321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34321300 is about 5858.4383584706. The cubic root of 34321300 is about 324.9784601109.

Adding to 34321300 its reverse (312343), we get a palindrome (34633643).

The spelling of 34321300 in words is "thirty-four million, three hundred twenty-one thousand, three hundred".