33034240 has 52 divisors (see below), whose sum is σ = 79321644. Its totient is φ = 13205504.

The previous prime is 33034231. The next prime is 33034273. The reversal of 33034240 is 4243033.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 16777216 = 4032^2 + 4096^2 .

It is a super-2 number, since 2×33034240² = 2182522024755200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19674 + ... + 21286.

Almost surely, 2^33034240 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 33034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39660822).

33034240 is an abundant number, since it is smaller than the sum of its proper divisors (46287404).

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

33034240 is an equidigital number, since it uses as much as digits as its factorization.

33034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 33034240 is about 5747.5420833605. The cubic root of 33034240 is about 320.8643299825.

Adding to 33034240 its reverse (4243033), we get a palindrome (37277273).

The spelling of 33034240 in words is "thirty-three million, thirty-four thousand, two hundred forty".