34133220 has 72 divisors (see below), whose sum is σ = 112956480. Its totient is φ = 8274240.

The previous prime is 34133171. The next prime is 34133227. The reversal of 34133220 is 2233143.

34133220 is a `hidden beast` number, since 341 + 3 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34133193 and 34133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6640 + ... + 10599.

It is an arithmetic number, because the mean of its divisors is an integer number (1568840).

Almost surely, 2^34133220 is an apocalyptic number.

34133220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34133220 is an abundant number, since it is smaller than the sum of its proper divisors (78823260).

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

34133220 is a wasteful number, since it uses less digits than its factorization.

34133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17265 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34133220 is about 5842.3642474601. The cubic root of 34133220 is about 324.3837474113.

Adding to 34133220 its reverse (2233143), we get a palindrome (36366363).

The spelling of 34133220 in words is "thirty-four million, one hundred thirty-three thousand, two hundred twenty".