341364000 has 96 divisors (see below), whose sum is σ = 1118347776. Its totient is φ = 91027200.

The previous prime is 341363989. The next prime is 341364007. The reversal of 341364000 is 463143.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (341364007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224 + ... + 26223.

It is an arithmetic number, because the mean of its divisors is an integer number (11649456).

Almost surely, 2^341364000 is an apocalyptic number.

341364000 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 341364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559173888).

341364000 is an abundant number, since it is smaller than the sum of its proper divisors (776983776).

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

341364000 is a wasteful number, since it uses less digits than its factorization.

341364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28475 (or 28457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 341364000 is about 18476.0385364396. The cubic root of 341364000 is about 698.8853006942.

The spelling of 341364000 in words is "three hundred forty-one million, three hundred sixty-four thousand".