34133320 has 64 divisors (see below), whose sum is σ = 84777840. Its totient is φ = 12288000.

The previous prime is 34133303. The next prime is 34133339. The reversal of 34133320 is 2333143.

It can be written as a sum of positive squares in 8 ways, for example, as 11035684 + 23097636 = 3322^2 + 4806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20520 + ... + 22120.

Almost surely, 2^34133320 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 34133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42388920).

34133320 is an abundant number, since it is smaller than the sum of its proper divisors (50644520).

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

34133320 is a wasteful number, since it uses less digits than its factorization.

34133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 34133320 is about 5842.3728056330. The cubic root of 34133320 is about 324.3840641931.

Adding to 34133320 its reverse (2333143), we get a palindrome (36466463).

It can be divided in two parts, 34133 and 320, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 34133320 in words is "thirty-four million, one hundred thirty-three thousand, three hundred twenty".