33414320 has 40 divisors (see below), whose sum is σ = 78078336. Its totient is φ = 13298688.

The previous prime is 33414319. The next prime is 33414341. The reversal of 33414320 is 2341433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33414320² = 2233033562124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33414292 and 33414301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16904 + ... + 18776.

Almost surely, 2^33414320 is an apocalyptic number.

It is an amenable number.

33414320 is an abundant number, since it is smaller than the sum of its proper divisors (44664016).

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

33414320 is a wasteful number, since it uses less digits than its factorization.

33414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 33414320 is about 5780.5120880420. The cubic root of 33414320 is about 322.0902232932.

Adding to 33414320 its reverse (2341433), we get a palindrome (35755753).

The spelling of 33414320 in words is "thirty-three million, four hundred fourteen thousand, three hundred twenty".