834704100 has 108 divisors (see below), whose sum is σ = 2706636660. Its totient is φ = 214905600.

The previous prime is 834704099. The next prime is 834704149. The reversal of 834704100 is 1407438.

It can be written as a sum of positive squares in 6 ways, for example, as 126292644 + 708411456 = 11238^2 + 26616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10110 + ... + 42090.

Almost surely, 2^834704100 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 834704100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353318330).

834704100 is an abundant number, since it is smaller than the sum of its proper divisors (1871932560).

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

834704100 is a wasteful number, since it uses less digits than its factorization.

834704100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32030 (or 32020 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 834704100 is about 28891.2460790462. The cubic root of 834704100 is about 941.5517225542.

The spelling of 834704100 in words is "eight hundred thirty-four million, seven hundred four thousand, one hundred".