342328000 has 112 divisors (see below), whose sum is σ = 969044544. Its totient is φ = 117350400.

The previous prime is 342327943. The next prime is 342328001. The reversal of 342328000 is 823243.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (342328001) 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, 52944 + ... + 59056.

Almost surely, 2^342328000 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 342328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484522272).

342328000 is an abundant number, since it is smaller than the sum of its proper divisors (626716544).

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

342328000 is an equidigital number, since it uses as much as digits as its factorization.

342328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 342328000 is about 18502.1079880104. The cubic root of 342328000 is about 699.5425582752.

The spelling of 342328000 in words is "three hundred forty-two million, three hundred twenty-eight thousand".