33493140 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 8425728.

The previous prime is 33493139. The next prime is 33493153. The reversal of 33493140 is 4139433.

33493140 is a `hidden beast` number, since 3 + 349 + 314 + 0 = 666.

It is a super-2 number, since 2×33493140² = 2243580854119200, 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312967 + ... + 313073.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^33493140 is an apocalyptic number.

33493140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33493140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

33493140 is an abundant number, since it is smaller than the sum of its proper divisors (74064492).

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

33493140 is a wasteful number, since it uses less digits than its factorization.

33493140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33493140 is about 5787.3258073138. The cubic root of 33493140 is about 322.3432806237.

It can be divided in two parts, 334931 and 40, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 33493140 in words is "thirty-three million, four hundred ninety-three thousand, one hundred forty".