Search a number
-
+
34137135 = 3257431021
BaseRepresentation
bin1000001000111…
…0010000101111
32101020100100100
42002032100233
532214342020
63215402143
7563106114
oct202162057
971210310
1034137135
11182a680a
12b523353
1370c30b6
14476890b
152ee4a90
hex208e42f

34137135 has 24 divisors (see below), whose sum is σ = 59308704. Its totient is φ = 18164160.

The previous prime is 34137127. The next prime is 34137157. The reversal of 34137135 is 53173143.

It is not a de Polignac number, because 34137135 - 23 = 34137127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34137099 and 34137108.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32925 + ... + 33945.

It is an arithmetic number, because the mean of its divisors is an integer number (2471196).

Almost surely, 234137135 is an apocalyptic number.

34137135 is a deficient number, since it is larger than the sum of its proper divisors (25171569).

34137135 is a wasteful number, since it uses less digits than its factorization.

34137135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1772 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 34137135 is about 5842.6992905677. The cubic root of 34137135 is about 324.3961489546.

The spelling of 34137135 in words is "thirty-four million, one hundred thirty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 743 1021 2229 3063 3715 5105 6687 9189 11145 15315 33435 45945 758603 2275809 3793015 6827427 11379045 34137135