33442734 has 64 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 9880416.

The previous prime is 33442733. The next prime is 33442741. The reversal of 33442734 is 43724433.

It is a super-2 number, since 2×33442734² = 2236832914789512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442733) by changing a digit.

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, 566797 + ... + 566855.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^33442734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

33442734 is an abundant number, since it is smaller than the sum of its proper divisors (41955666).

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

33442734 is a wasteful number, since it uses less digits than its factorization.

33442734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its digits is 24192, while the sum is 30.

The square root of 33442734 is about 5782.9693065068. The cubic root of 33442734 is about 322.1814943283.

The spelling of 33442734 in words is "thirty-three million, four hundred forty-two thousand, seven hundred thirty-four".