342033000 has 128 divisors (see below), whose sum is σ = 1113765120. Its totient is φ = 87225600.

The previous prime is 342032987. The next prime is 342033007. The reversal of 342033000 is 330243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342033007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66522 + ... + 71478.

It is an arithmetic number, because the mean of its divisors is an integer number (8701290).

Almost surely, 2^342033000 is an apocalyptic number.

342033000 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 342033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556882560).

342033000 is an abundant number, since it is smaller than the sum of its proper divisors (771732120).

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

342033000 is a wasteful number, since it uses less digits than its factorization.

342033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 342033000 is about 18494.1342052014. The cubic root of 342033000 is about 699.3415577132.

Adding to 342033000 its reverse (330243), we get a palindrome (342363243).

The spelling of 342033000 in words is "three hundred forty-two million, thirty-three thousand".