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23806341 = 32131711969
BaseRepresentation
bin101101011010…
…0000110000101
31122210111011100
41122310012011
522043300331
62210130313
7406231146
oct132640605
948714140
1023806341
1112490069
127b80999
134c16ac0
143239acd
152153ae6
hex16b4185

23806341 has 24 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 13787136.

The previous prime is 23806331. The next prime is 23806379. The reversal of 23806341 is 14360832.

It is a happy number.

23806341 is a `hidden beast` number, since 23 + 8 + 0 + 634 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 23561316 = 495^2 + 4854^2 .

It is not a de Polignac number, because 23806341 - 217 = 23675269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23806301) 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 23 ways as a sum of consecutive naturals, for example, 3996 + ... + 7973.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 223806341 is an apocalyptic number.

It is an amenable number.

23806341 is a deficient number, since it is larger than the sum of its proper divisors (15407379).

23806341 is a wasteful number, since it uses less digits than its factorization.

23806341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23806341 is about 4879.1742129176. The cubic root of 23806341 is about 287.6719717186.

The spelling of 23806341 in words is "twenty-three million, eight hundred six thousand, three hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 11969 35907 107721 155597 203473 466791 610419 1400373 1831257 2645149 7935447 23806341