33430208 has 56 divisors (see below), whose sum is σ = 76955904. Its totient is φ = 14112000.

The previous prime is 33430181. The next prime is 33430223. The reversal of 33430208 is 80203433.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×33430208² = 2235157613846528, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 31283 + ... + 32333.

Almost surely, 2^33430208 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 33430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38477952).

33430208 is an abundant number, since it is smaller than the sum of its proper divisors (43525696).

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

33430208 is a wasteful number, since it uses less digits than its factorization.

33430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 33430208 is about 5781.8861974273. The cubic root of 33430208 is about 322.1412648686.

The spelling of 33430208 in words is "thirty-three million, four hundred thirty thousand, two hundred eight".