Search a number
-
+
23084369 = 711409733
BaseRepresentation
bin101100000001…
…1110101010001
31121102210210122
41120003311101
521402144434
62142440025
7400133240
oct130036521
947383718
1023084369
11120376a0
127893015
134a232b9
1430cc957
15205ec2e
hex1603d51

23084369 has 16 divisors (see below), whose sum is σ = 28890240. Its totient is φ = 17919360.

The previous prime is 23084357. The next prime is 23084389. The reversal of 23084369 is 96348032.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23084369 is a prime.

It is a super-2 number, since 2×230843692 = 1065776184256322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23084339) 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 15 ways as a sum of consecutive naturals, for example, 31127 + ... + 31859.

It is an arithmetic number, because the mean of its divisors is an integer number (1805640).

Almost surely, 223084369 is an apocalyptic number.

It is an amenable number.

23084369 is a deficient number, since it is larger than the sum of its proper divisors (5805871).

23084369 is a wasteful number, since it uses less digits than its factorization.

23084369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 23084369 is about 4804.6195478935. The cubic root of 23084369 is about 284.7340044093.

The spelling of 23084369 in words is "twenty-three million, eighty-four thousand, three hundred sixty-nine".

Divisors: 1 7 11 77 409 733 2863 4499 5131 8063 31493 56441 299797 2098579 3297767 23084369