33404140 has 96 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 10264320.

The previous prime is 33404117. The next prime is 33404153. The reversal of 33404140 is 4140433.

33404140 = T₄₄₁ + T₄₄₂ + ... + T₆₅₈.

It is a super-2 number, since 2×33404140² = 2231673138279200, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167761 + ... + 167959.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 2^33404140 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 33404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

33404140 is an abundant number, since it is smaller than the sum of its proper divisors (55299860).

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

33404140 is a wasteful number, since it uses less digits than its factorization.

33404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 33404140 is about 5779.6314761410. The cubic root of 33404140 is about 322.0575106567.

Adding to 33404140 its reverse (4140433), we get a palindrome (37544573).

The spelling of 33404140 in words is "thirty-three million, four hundred four thousand, one hundred forty".