33434240 has 128 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 10764288.

The previous prime is 33434239. The next prime is 33434267. The reversal of 33434240 is 4243433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33434240² = 2235696808755200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75941 + ... + 76379.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^33434240 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 33434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

33434240 is an abundant number, since it is smaller than the sum of its proper divisors (63506560).

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

33434240 is a wasteful number, since it uses less digits than its factorization.

33434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 33434240 is about 5782.2348620581. The cubic root of 33434240 is about 322.1542154448.

Adding to 33434240 its reverse (4243433), we get a palindrome (37677673).

The spelling of 33434240 in words is "thirty-three million, four hundred thirty-four thousand, two hundred forty".