34033000 has 32 divisors (see below), whose sum is σ = 79639560. Its totient is φ = 13612800.

The previous prime is 34032991. The next prime is 34033003. The reversal of 34033000 is 33043.

It can be written as a sum of positive squares in 4 ways, for example, as 13439556 + 20593444 = 3666^2 + 4538^2 .

It is not an unprimeable number, because it can be changed into a prime (34033003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16017 + ... + 18016.

Almost surely, 2^34033000 is an apocalyptic number.

It is an amenable number.

34033000 is an abundant number, since it is smaller than the sum of its proper divisors (45606560).

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

34033000 is a wasteful number, since it uses less digits than its factorization.

34033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34054 (or 34040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 34033000 is about 5833.7809352083. The cubic root of 34033000 is about 324.0659572066.

Adding to 34033000 its reverse (33043), we get a palindrome (34066043).

The spelling of 34033000 in words is "thirty-four million, thirty-three thousand".