About the Number 2304 (two thousand three hundred four)

This nBAB about the number 2304 is the 2304 BAB. An nBAB was created for this number because 2304 is a square number.

   MathBabbler Number Analyst (MBNA) output:
   =========================================
   2304 is a natural, whole, integer
   2304 is even
   2304 proper divisors are: 1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,
                             96,128,144,192,256,288,384,576,768,1152
   2304 is abundant (sum of divisors is 4339)
   2304 is unhappy
   2304 is a Harshad number
   2304 is not prime
   2304 has the prime factors: 2*2*2*2*2*2*2*2*3*3 (sum=22)
   2304 sum of prime factors is: 22
   2304 in octal is 04400
   2304 in hexadecimal is 0x900
   2304 in binary is 100100000000 (is evil)
   2304 nearest square numbers: 2304 is square (2304 is square)
   sqrt(2304) = 48
   ln(2304) = 7.7424
   log(2304) = 3.36248
   2304 is 48^2
   2304 reciprocal is .00043402777777777777777777777777
   2304 is an apocalyptic power
   2304! is inf
   2304 is 733.386 Pi years
   2304 is 115 score and 4 years
   2304 written as a Roman numeral is MMCCCIV

Arizona was the sqrt(2304)th state admitted to the Union.

2304 is a powerful number according to NumberGossip.com.

[Wikipedia.org] "A powerful number is a positive integer m that for every prime number p dividing m, p^2 also divides m. Equivalently, a powerful number is the product of a square and a cube, that is, a number m of the form m = a^2b^3, where a and b are positive integers."

   2304 = 2^8 * 3^2

   note:  2^2 and 3^2 are both factors of 2304

The first few powerful numbers...

     1,   4,   8,   9,  16,  25,  27,  32,  36,  49,  64,  72,  81, 
   100, 108, 121, 125, 128, 144, 169, 196, 200, 216, 225, 243, 256, 
   288, 289, 324, 343, 361, 392, 400, 432, 441, 484, 500, 512, 529, 
   576, 625, 648, 675, 676, 729, 784, 800, 841, 864, 900, 961, 968, 
   972, 1000, ...

OEIS.org::id:A001694


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 01 June 2009

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This work is licensed under a Creative Commons Attribution 3.0 United States License.