33420402 has 48 divisors (see below), whose sum is σ = 77290200. Its totient is φ = 10400256.

The previous prime is 33420391. The next prime is 33420407. The reversal of 33420402 is 20402433.

It can be written as a sum of positive squares in 4 ways, for example, as 32729841 + 690561 = 5721^2 + 831^2 .

It is a super-2 number, since 2×33420402² = 2233846539683208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33420407) 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 23 ways as a sum of consecutive naturals, for example, 45228 + ... + 45960.

Almost surely, 2^33420402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38645100).

33420402 is an abundant number, since it is smaller than the sum of its proper divisors (43869798).

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

33420402 is a wasteful number, since it uses less digits than its factorization.

33420402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33420402 is about 5781.0381420641. The cubic root of 33420402 is about 322.1097641557.

Adding to 33420402 its reverse (20402433), we get a palindrome (53822835).

It can be divided in two parts, 334 and 20402, that added together give a 4-th power (20736 = 12⁴).

The spelling of 33420402 in words is "thirty-three million, four hundred twenty thousand, four hundred two".