### About the Number 3200 (three thousand two hundred)

H.R. `3200` is America's Affordable Health Choices Act of 2009 and it was a huge topic of debate during the summer of 2009.

```   MathBabbler Number Analyst (MBNA) output:
=========================================
3200 is a natural, whole, integer
3200 is even
3200 proper divisors are: 1,2,4,5,8,10,16,20,25,32,40,50,
64,80,100,128,160,200,320,400,
640,800,1600,
3200 is abundant (sum of divisors is 4705)
3200 is happy
3200 is not prime
3200 has the prime factors: 2*2*2*2*2*2*2*5*5 (sum=24)
3200 sum of prime factors is: 24
3200 in octal is 06200
3200 in binary is 110010000000 (is odious)
3200 nearest square numbers: -64...49 (3136...3249 [57])
sqrt(3200) = 56.5685
ln(3200) = 8.07091
log(3200) = 3.50515
3200 reciprocal is .00031250000000000000000000000000
3200! is inf
3200 is 1018.59 Pi years
3200 is 160 scoreyears
3200 written as a Roman numeral is MMMCC
```

`3200` is a powerful number, but this nBAB was created using a version of the MBNA that didn't check for powerful numbers.

`[OEIS.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." Note: Powerful numbers are also called squarefull, square-full or 2-full numbers. {OEIS.org::id:A001694}

log13(`3200`) equals 3.14661, which is Pi rounded down to the nearest hundredth (3.14).

##### Update::2014.02.12

@MathBabbler's tweet count hit `3200` on 12 February 2014.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 11 August 2009