33442434 has 48 divisors (see below), whose sum is σ = 77189112. Its totient is φ = 10427904.

The previous prime is 33442421. The next prime is 33442441. The reversal of 33442434 is 43424433.

It can be written as a sum of positive squares in 4 ways, for example, as 33350625 + 91809 = 5775^2 + 303^2 .

It is a super-2 number, since 2×33442434² = 2236792783688712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33442398 and 33442407.

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 23 ways as a sum of consecutive naturals, for example, 89472 + ... + 89844.

Almost surely, 2^33442434 is an apocalyptic number.

33442434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38594556).

33442434 is an abundant number, since it is smaller than the sum of its proper divisors (43746678).

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

33442434 is a wasteful number, since it uses less digits than its factorization.

33442434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 688 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 33442434 is about 5782.9433682166. The cubic root of 33442434 is about 322.1805309427.

Adding to 33442434 its reverse (43424433), we get a palindrome (76866867).

It can be divided in two parts, 3344 and 2434, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 33442434 in words is "thirty-three million, four hundred forty-two thousand, four hundred thirty-four".