33034000 has 80 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 12988800.

The previous prime is 33033991. The next prime is 33034013. The reversal of 33034000 is 43033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 165901 + ... + 166099.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^33034000 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 33034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

33034000 is an abundant number, since it is smaller than the sum of its proper divisors (48210800).

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

33034000 is a wasteful number, since it uses less digits than its factorization.

33034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 33034000 is about 5747.5212048326. The cubic root of 33034000 is about 320.8635529339.

Adding to 33034000 its reverse (43033), we get a palindrome (33077033).

The spelling of 33034000 in words is "thirty-three million, thirty-four thousand".