341056000 has 120 divisors (see below), whose sum is σ = 862253964. Its totient is φ = 134553600.

The previous prime is 341055997. The next prime is 341056013. The reversal of 341056000 is 650143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 20502784 + 320553216 = 4528^2 + 17904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4671964 + ... + 4672036.

Almost surely, 2^341056000 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 341056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431126982).

341056000 is an abundant number, since it is smaller than the sum of its proper divisors (521197964).

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

341056000 is an frugal number, since it uses more digits than its factorization.

341056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 341056000 is about 18467.7015353833. The cubic root of 341056000 is about 698.6750447363.

Multiplying 341056000 by its product of nonzero digits (360), we get a square (122780160000 = 350400²).

The spelling of 341056000 in words is "three hundred forty-one million, fifty-six thousand".