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24134117 = 72412293
BaseRepresentation
bin101110000010…
…0000111100101
31200102010210012
41130010013211
522134242432
62221140005
7412064600
oct134040745
950363705
1024134117
1112694357
1280ba605
135000057
1432c3337
1521bacb2
hex17041e5

24134117 has 18 divisors (see below), whose sum is σ = 28874034. Its totient is φ = 20112960.

The previous prime is 24134111. The next prime is 24134129. The reversal of 24134117 is 71143142.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 261121 + 23872996 = 511^2 + 4886^2 .

It is not a de Polignac number, because 24134117 - 26 = 24134053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 24134092 and 24134101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24134111) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 82223 + ... + 82515.

It is an arithmetic number, because the mean of its divisors is an integer number (1604113).

Almost surely, 224134117 is an apocalyptic number.

It is an amenable number.

24134117 is a deficient number, since it is larger than the sum of its proper divisors (4739917).

24134117 is an equidigital number, since it uses as much as digits as its factorization.

24134117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 341 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 24134117 is about 4912.6486745950. The cubic root of 24134117 is about 288.9862223689.

Adding to 24134117 its reverse (71143142), we get a palindrome (95277259).

The spelling of 24134117 in words is "twenty-four million, one hundred thirty-four thousand, one hundred seventeen".

Divisors: 1 7 41 49 287 293 1681 2009 2051 11767 12013 14357 82369 84091 492533 588637 3447731 24134117