34000820 has 24 divisors (see below), whose sum is σ = 81602304. Its totient is φ = 11657376.

The previous prime is 34000819. The next prime is 34000853. The reversal of 34000820 is 2800043.

34000820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

34000820 is a modest number, since divided by 820 gives 340 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121292 + ... + 121571.

It is an arithmetic number, because the mean of its divisors is an integer number (3400096).

Almost surely, 2^34000820 is an apocalyptic number.

It is an amenable number.

34000820 is an abundant number, since it is smaller than the sum of its proper divisors (47601484).

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

34000820 is a wasteful number, since it uses less digits than its factorization.

34000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242879 (or 242877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34000820 is about 5831.0222088413. The cubic root of 34000820 is about 323.9637845006.

Adding to 34000820 its reverse (2800043), we get a palindrome (36800863).

The spelling of 34000820 in words is "thirty-four million, eight hundred twenty", and thus it is an aban number.