34333040 has 80 divisors (see below), whose sum is σ = 93749952. Its totient is φ = 11446272.

The previous prime is 34333037. The next prime is 34333051. The reversal of 34333040 is 4033343.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19892 + ... + 21548.

Almost surely, 2^34333040 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 34333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46874976).

34333040 is an abundant number, since it is smaller than the sum of its proper divisors (59416912).

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

34333040 is a wasteful number, since it uses less digits than its factorization.

34333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

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

The square root of 34333040 is about 5859.4402463034. The cubic root of 34333040 is about 325.0155101079.

Adding to 34333040 its reverse (4033343), we get a palindrome (38366383).

The spelling of 34333040 in words is "thirty-four million, three hundred thirty-three thousand, forty".