342024000 has 112 divisors (see below), whose sum is σ = 1129442496. Its totient is φ = 91200000.

The previous prime is 342023989. The next prime is 342024019. The reversal of 342024000 is 420243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16875 + ... + 31125.

It is an arithmetic number, because the mean of its divisors is an integer number (10084308).

Almost surely, 2^342024000 is an apocalyptic number.

342024000 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 342024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564721248).

342024000 is an abundant number, since it is smaller than the sum of its proper divisors (787418496).

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

342024000 is a wasteful number, since it uses less digits than its factorization.

342024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 342024000 is about 18493.8908832079. The cubic root of 342024000 is about 699.3354236762.

Adding to 342024000 its reverse (420243), we get a palindrome (342444243).

The spelling of 342024000 in words is "three hundred forty-two million, twenty-four thousand".