33234320 has 80 divisors (see below), whose sum is σ = 93529728. Its totient is φ = 10721280.

The previous prime is 33234293. The next prime is 33234323. The reversal of 33234320 is 2343233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33234320² = 2209040051724800, 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 = 33234292 and 33234301.

It is not an unprimeable number, because it can be changed into a prime (33234323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7775 + ... + 11265.

Almost surely, 2^33234320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46764864).

33234320 is an abundant number, since it is smaller than the sum of its proper divisors (60295408).

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

33234320 is a wasteful number, since it uses less digits than its factorization.

33234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 33234320 is about 5764.9215085723. The cubic root of 33234320 is about 321.5108244289.

Adding to 33234320 its reverse (2343233), we get a palindrome (35577553).

It can be divided in two parts, 3 and 3234320, that added together give a palindrome (3234323).

The spelling of 33234320 in words is "thirty-three million, two hundred thirty-four thousand, three hundred twenty".