### 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 