34113300 has 72 divisors (see below), whose sum is σ = 106305696. Its totient is φ = 8396160.

The previous prime is 34113293. The next prime is 34113307. The reversal of 34113300 is 331143.

It is an interprime number because it is at equal distance from previous prime (34113293) and next prime (34113307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474 + ... + 8273.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2^34113300 is an apocalyptic number.

34113300 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 34113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53152848).

34113300 is an abundant number, since it is smaller than the sum of its proper divisors (72192396).

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

34113300 is a wasteful number, since it uses less digits than its factorization.

34113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 34113300 is about 5840.6592093701. The cubic root of 34113300 is about 324.3206321464.

Adding to 34113300 its reverse (331143), we get a palindrome (34444443).

The spelling of 34113300 in words is "thirty-four million, one hundred thirteen thousand, three hundred".