34416117 has 8 divisors (see below), whose sum is σ = 50986880. Its totient is φ = 22944060.

The previous prime is 34416103. The next prime is 34416131. The reversal of 34416117 is 71161443.

It is a happy number.

34416117 is a `hidden beast` number, since 3 + 4 + 41 + 611 + 7 = 666.

34416117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34416103) and next prime (34416131).

It is not a de Polignac number, because 34416117 - 2⁷ = 34415989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1274671 = 34416117 / (3 + 4 + 4 + 1 + 6 + 1 + 1 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34416157) by changing a digit.

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, 637309 + ... + 637362.

It is an arithmetic number, because the mean of its divisors is an integer number (6373360).

Almost surely, 2^34416117 is an apocalyptic number.

It is an amenable number.

34416117 is a deficient number, since it is larger than the sum of its proper divisors (16570763).

34416117 is a wasteful number, since it uses less digits than its factorization.

34416117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274680 (or 1274674 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 34416117 is about 5866.5251213985. The cubic root of 34416117 is about 325.2774498609.

It can be divided in two parts, 344 and 16117, that added together give a palindrome (16461).

The spelling of 34416117 in words is "thirty-four million, four hundred sixteen thousand, one hundred seventeen".