Search a number
-
+
34013134134 = 2327269945509
BaseRepresentation
bin11111101011010101…
…110011110100110110
310020210102201020110200
4133223111303310312
51024124330243014
623343031301330
72312606604240
oct375325636466
9106712636420
1034013134134
1113474589111
126712b1a846
133290934a95
14190941b090
15d410e5a09
hex7eb573d36

34013134134 has 24 divisors (see below), whose sum is σ = 84222999120. Its totient is φ = 9718038288.

The previous prime is 34013134123. The next prime is 34013134139. The reversal of 34013134134 is 43143131043.

34013134134 is a `hidden beast` number, since 340 + 1 + 313 + 4 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34013134098 and 34013134107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013134139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134972629 + ... + 134972880.

It is an arithmetic number, because the mean of its divisors is an integer number (3509291630).

Almost surely, 234013134134 is an apocalyptic number.

34013134134 is an abundant number, since it is smaller than the sum of its proper divisors (50209864986).

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

34013134134 is a wasteful number, since it uses less digits than its factorization.

34013134134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269945524 (or 269945521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34013134134 its reverse (43143131043), we get a palindrome (77156265177).

The spelling of 34013134134 in words is "thirty-four billion, thirteen million, one hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 269945509 539891018 809836527 1619673054 1889618563 2429509581 3779237126 4859019162 5668855689 11337711378 17006567067 34013134134