33482240 has 160 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 11468800.

The previous prime is 33482233. The next prime is 33482257. The reversal of 33482240 is 4228433.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33482240² = 2242120790835200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 816620 + ... + 816660.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 2^33482240 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 33482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

33482240 is an abundant number, since it is smaller than the sum of its proper divisors (59324320).

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

33482240 is a wasteful number, since it uses less digits than its factorization.

33482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 33482240 is about 5786.3840176746. The cubic root of 33482240 is about 322.3083090547.

The spelling of 33482240 in words is "thirty-three million, four hundred eighty-two thousand, two hundred forty".