Search a number
-
+
34142511 = 31317232239
BaseRepresentation
bin1000001000111…
…1100100101111
32101020121201110
42002033210233
532220030021
63215443103
7563130564
oct202174457
971217643
1034142511
11182aa857
12b526493
1370c5690
14476a86b
152ee6476
hex208f92f

34142511 has 32 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 18906624.

The previous prime is 34142503. The next prime is 34142531. The reversal of 34142511 is 11524143.

34142511 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 34142511 - 23 = 34142503 is a prime.

It is a super-2 number, since 2×341425112 = 2331422114770242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142531) 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, 14130 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 234142511 is an apocalyptic number.

34142511 is a deficient number, since it is larger than the sum of its proper divisors (20047569).

34142511 is a wasteful number, since it uses less digits than its factorization.

34142511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295.

The product of its digits is 480, while the sum is 21.

The square root of 34142511 is about 5843.1593337851. The cubic root of 34142511 is about 324.4131769620.

Adding to 34142511 its reverse (11524143), we get a palindrome (45666654).

The spelling of 34142511 in words is "thirty-four million, one hundred forty-two thousand, five hundred eleven".

Divisors: 1 3 13 17 23 39 51 69 221 299 391 663 897 1173 2239 5083 6717 15249 29107 38063 51497 87321 114189 154491 494819 669461 875449 1484457 2008383 2626347 11380837 34142511