Search a number
-
+
34040305 = 5131943641
BaseRepresentation
bin1000000111011…
…0100111110001
32101001102112001
42001312213301
532203242210
63213334001
7562223605
oct201664761
971042461
1034040305
111823aa92
12b497301
13708acc0
144741505
152ec603a
hex20769f1

34040305 has 32 divisors (see below), whose sum is σ = 47456640. Its totient is φ = 23224320.

The previous prime is 34040297. The next prime is 34040309. The reversal of 34040305 is 50304043.

34040305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34040305 - 23 = 34040297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (34040309) 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 31 ways as a sum of consecutive naturals, for example, 52785 + ... + 53425.

It is an arithmetic number, because the mean of its divisors is an integer number (1483020).

Almost surely, 234040305 is an apocalyptic number.

It is an amenable number.

34040305 is a deficient number, since it is larger than the sum of its proper divisors (13416335).

34040305 is a wasteful number, since it uses less digits than its factorization.

34040305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721.

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 34040305 is about 5834.4069964307. The cubic root of 34040305 is about 324.0891418848.

Adding to 34040305 its reverse (50304043), we get a palindrome (84344348).

The spelling of 34040305 in words is "thirty-four million, forty thousand, three hundred five".

Divisors: 1 5 13 19 43 65 95 215 247 559 641 817 1235 2795 3205 4085 8333 10621 12179 27563 41665 53105 60895 137815 158327 358319 523697 791635 1791595 2618485 6808061 34040305