34041300 has 72 divisors (see below), whose sum is σ = 99118656. Its totient is φ = 9020160.

The previous prime is 34041299. The next prime is 34041313. The reversal of 34041300 is 314043.

34041300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 34041300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69657 + ... + 70143.

It is an arithmetic number, because the mean of its divisors is an integer number (1376648).

Almost surely, 2^34041300 is an apocalyptic number.

34041300 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 34041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559328).

34041300 is an abundant number, since it is smaller than the sum of its proper divisors (65077356).

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

34041300 is a wasteful number, since it uses less digits than its factorization.

34041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34041300 is about 5834.4922658274. The cubic root of 34041300 is about 324.0922995686.

Adding to 34041300 its reverse (314043), we get a palindrome (34355343).

The spelling of 34041300 in words is "thirty-four million, forty-one thousand, three hundred".