Search a number
-
+
34344043541 = 1937431136129
BaseRepresentation
bin11111111111000100…
…001000010000010101
310021122111101011211122
4133333010020100111
51030314033343131
623435532013325
72324035360553
oct377704102025
9107574334748
1034344043541
1113624354265
1267a5901245
133314365772
14193b358bd3
15d601acd7b
hex7ff108415

34344043541 has 16 divisors (see below), whose sum is σ = 37992187200. Its totient is φ = 30920859648.

The previous prime is 34344043537. The next prime is 34344043549. The reversal of 34344043541 is 14534044343.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34344043541 - 22 = 34344043537 is a prime.

It is a super-2 number, since 2×343440435412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344043549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537836 + ... + 598293.

It is an arithmetic number, because the mean of its divisors is an integer number (2374511700).

Almost surely, 234344043541 is an apocalyptic number.

It is an amenable number.

34344043541 is a deficient number, since it is larger than the sum of its proper divisors (3648143659).

34344043541 is a wasteful number, since it uses less digits than its factorization.

34344043541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136228.

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 34344043541 its reverse (14534044343), we get a palindrome (48878087884).

The spelling of 34344043541 in words is "thirty-four billion, three hundred forty-four million, forty-three thousand, five hundred forty-one".

Divisors: 1 19 37 43 703 817 1591 30229 1136129 21586451 42036773 48853547 798698687 928217393 1807581239 34344043541