34100000 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 12000000.

The previous prime is 34099999. The next prime is 34100021. The reversal of 34100000 is 143.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099985 + ... + 1100015.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^34100000 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 34100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

34100000 is an abundant number, since it is smaller than the sum of its proper divisors (60393952).

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

34100000 is an equidigital number, since it uses as much as digits as its factorization.

34100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 34100000 is about 5839.5205282626. The cubic root of 34100000 is about 324.2784782543.

Adding to 34100000 its reverse (143), we get a palindrome (34100143).

The spelling of 34100000 in words is "thirty-four million, one hundred thousand".