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 a Harshad number
   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 hexadecimal is 0xc80
   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

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