34043100 has 288 divisors, whose sum is σ = 128325120. Its totient is φ = 6773760.

The previous prime is 34043099. The next prime is 34043137. The reversal of 34043100 is 134043.

34043100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34043100² = 2317865315220000, which contains 22 as substring.

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 34043100.

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 95 ways as a sum of consecutive naturals, for example, 791679 + ... + 791721.

Almost surely, 2^34043100 is an apocalyptic number.

34043100 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 34043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

34043100 is an abundant number, since it is smaller than the sum of its proper divisors (94282020).

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

34043100 is a wasteful number, since it uses less digits than its factorization.

34043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

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

The square root of 34043100 is about 5834.6465188561. The cubic root of 34043100 is about 324.0980118050.

Adding to 34043100 its reverse (134043), we get a palindrome (34177143).

It can be divided in two parts, 34043 and 100, that added together give a palindrome (34143).

The spelling of 34043100 in words is "thirty-four million, forty-three thousand, one hundred".