33004240 has 40 divisors (see below), whose sum is σ = 77236128. Its totient is φ = 13115520.

The previous prime is 33004229. The next prime is 33004247. The reversal of 33004240 is 4240033.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33004247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11775 + ... + 14305.

Almost surely, 2^33004240 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 33004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38618064).

33004240 is an abundant number, since it is smaller than the sum of its proper divisors (44231888).

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

33004240 is a wasteful number, since it uses less digits than its factorization.

33004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33004240 is about 5744.9316793153. The cubic root of 33004240 is about 320.7671697300.

Adding to 33004240 its reverse (4240033), we get a palindrome (37244273).

The spelling of 33004240 in words is "thirty-three million, four thousand, two hundred forty".