34384053 has 64 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 18144000.

The previous prime is 34384037. The next prime is 34384061. The reversal of 34384053 is 35048343.

It is not a de Polignac number, because 34384053 - 2⁴ = 34384037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34384053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34384033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 563643 + ... + 563703.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^34384053 is an apocalyptic number.

34384053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34384053 is a deficient number, since it is larger than the sum of its proper divisors (22755147).

34384053 is a wasteful number, since it uses less digits than its factorization.

34384053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34384053 is about 5863.7916913888. The cubic root of 34384053 is about 325.1764028544.

The spelling of 34384053 in words is "thirty-four million, three hundred eighty-four thousand, fifty-three".