342333000 has 256 divisors, whose sum is σ = 1228032000. Its totient is φ = 88128000.

The previous prime is 342332993. The next prime is 342333041. The reversal of 342333000 is 333243.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 836796 + ... + 837204.

It is an arithmetic number, because the mean of its divisors is an integer number (4797000).

Almost surely, 2^342333000 is an apocalyptic number.

342333000 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 342333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614016000).

342333000 is an abundant number, since it is smaller than the sum of its proper divisors (885699000).

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

342333000 is a wasteful number, since it uses less digits than its factorization.

342333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 342333000 is about 18502.2431072559. The cubic root of 342333000 is about 699.5459640690.

Adding to 342333000 its reverse (333243), we get a palindrome (342666243).

The spelling of 342333000 in words is "three hundred forty-two million, three hundred thirty-three thousand".