Search a number
-
+
34136991 = 337237853
BaseRepresentation
bin1000001000111…
…0001110011111
32101020100011000
42002032032133
532214340431
63215401343
7563105520
oct202161637
971210130
1034136991
11182a6699
12b523253
1370c3005
144768847
152ee49e6
hex208e39f

34136991 has 32 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 18656352.

The previous prime is 34136989. The next prime is 34137001. The reversal of 34136991 is 19963143.

34136991 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 34136991 - 21 = 34136989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34136191) 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, 421 + ... + 8273.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 234136991 is an apocalyptic number.

34136991 is a deficient number, since it is larger than the sum of its proper divisors (26181729).

34136991 is a wasteful number, since it uses less digits than its factorization.

34136991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7886 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 34136991 is about 5842.6869674834. The cubic root of 34136991 is about 324.3956928227.

It can be divided in two parts, 3413 and 6991, that added together give a square (10404 = 1022).

The spelling of 34136991 in words is "thirty-four million, one hundred thirty-six thousand, nine hundred ninety-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 7853 23559 54971 70677 164913 180619 212031 494739 541857 1264333 1484217 1625571 3792999 4876713 11378997 34136991