33234000 has 160 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 8512000.

The previous prime is 33233989. The next prime is 33234001. The reversal of 33234000 is 43233.

It is a super-2 number, since 2×33234000² = 2208997512000000, which contains 22 as substring.

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 (33234001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173905 + ... + 174095.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^33234000 is an apocalyptic number.

33234000 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 33234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

33234000 is an abundant number, since it is smaller than the sum of its proper divisors (78187440).

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

33234000 is a wasteful number, since it uses less digits than its factorization.

33234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

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

The square root of 33234000 is about 5764.8937544416. The cubic root of 33234000 is about 321.5097925258.

Adding to 33234000 its reverse (43233), we get a palindrome (33277233).

The spelling of 33234000 in words is "thirty-three million, two hundred thirty-four thousand".