341416100 has 72 divisors (see below), whose sum is σ = 788777640. Its totient is φ = 127825920.

The previous prime is 341416091. The next prime is 341416123. The reversal of 341416100 is 1614143.

It can be written as a sum of positive squares in 12 ways, for example, as 1308736 + 340107364 = 1144^2 + 18442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388862 + ... + 389738.

It is an arithmetic number, because the mean of its divisors is an integer number (10955245).

Almost surely, 2^341416100 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 341416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394388820).

341416100 is an abundant number, since it is smaller than the sum of its proper divisors (447361540).

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

341416100 is a wasteful number, since it uses less digits than its factorization.

341416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 341416100 is about 18477.4484169216. The cubic root of 341416100 is about 698.9208542108.

The spelling of 341416100 in words is "three hundred forty-one million, four hundred sixteen thousand, one hundred".