34304100 has 72 divisors (see below), whose sum is σ = 102701760. Its totient is φ = 8830080.

The previous prime is 34304089. The next prime is 34304107. The reversal of 34304100 is 140343.

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 34304100.

It is not an unprimeable number, because it can be changed into a prime (34304107) 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, 6729 + ... + 10671.

Almost surely, 2^34304100 is an apocalyptic number.

34304100 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 34304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51350880).

34304100 is an abundant number, since it is smaller than the sum of its proper divisors (68397660).

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

34304100 is a wasteful number, since it uses less digits than its factorization.

34304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3982 counting only the distinct ones).

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

The square root of 34304100 is about 5856.9702065146. The cubic root of 34304100 is about 324.9241637651.

Adding to 34304100 its reverse (140343), we get a palindrome (34444443).

The spelling of 34304100 in words is "thirty-four million, three hundred four thousand, one hundred".