Search a number
-
+
34634709 = 344110429
BaseRepresentation
bin1000010000011…
…1101111010101
32102011121220000
42010013233111
532331302314
63234201513
7600250554
oct204075725
972147800
1034634709
111860662a
12b723299
137238715
144857d9b
153092209
hex2107bd5

34634709 has 20 divisors (see below), whose sum is σ = 53005260. Its totient is φ = 22524480.

The previous prime is 34634693. The next prime is 34634731. The reversal of 34634709 is 90743643.

34634709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19448100 + 15186609 = 4410^2 + 3897^2 .

It is not a de Polignac number, because 34634709 - 24 = 34634693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34634749) 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 19 ways as a sum of consecutive naturals, for example, 1894 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (2650263).

Almost surely, 234634709 is an apocalyptic number.

It is an amenable number.

34634709 is a deficient number, since it is larger than the sum of its proper divisors (18370551).

34634709 is a wasteful number, since it uses less digits than its factorization.

34634709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34634709 is about 5885.1260819119. The cubic root of 34634709 is about 325.9646573652.

The spelling of 34634709 in words is "thirty-four million, six hundred thirty-four thousand, seven hundred nine".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 10429 31287 93861 281583 427589 844749 1282767 3848301 11544903 34634709