About the Number 288 (two hundred eighty-eight)

October 15th is day 288 during non-leap years.

pballew.blogspot.com::Pat's Blog: On This Day in Math - October 15

   "The 288th day of the year; 288 is the super-factorial of four. 
    1! * 2! * 3! * 4! = 288. It is important that math students learn 
    not to say this number in public as it is two gross. (I apologize 
    for the really bad pun)"

   "288 is also the sum of the first four integers raised to their own 
    power:  1^1 + 2^2 + 3^3 + 4^4 = 288"
MathBabbler Number Analyst (MBNA) output:
=========================================
288 is a natural, whole, integer
288 is even
288 proper divisors are: 1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,
288 is refactorable (evenly divisable  by # of divisors)
288 has 17 proper divisors
288 is abundant (sum of divisors is 531; ratio: 1.84375)
288 is unhappy
288 is not a Squarefree Number: 4,9,16,36,144,
288 is Harshad (Niven) number
288 is composite (not prime)
288 has the prime factors: 2*2*2*2*2*3*3 (sum=16)
288 is dodecagonal
288 is the sum of 3 distinct cubes (2^3 + 4^3 + 6^3)
288 is powerful (6^2*2^3)
288 is the sum of 2 consecutive primes
288 = 139 + 149
288 is a nude number
288 in octal is 0440
288 in hexadecimal is 0x120
288 in binary is 100100000 (is evil)
288 nearest square numbers: -32...1 (256...289 [17])
sqrt(288) = 16.9706
ln(288) = 5.66296
log(288) = 2.45939
288 reciprocal is .00347222222222222222222222222222
288! is 7.19677e+584
288 is 91.6732 Pi years
288 is 14 score and 8 years
288 written as a Roman numeral is CCLXXXVIII
288 is 73^2 - 71^2 and 2 * (73 + 71)
288 is a multiple of 2 & it contains a 2 (A121022)
288 is a multiple of 8 & it contains a 8 (A121028)

log8(288) = 2.72331, which when rounded to the nearest hundredth equals e (2.7182818284590) rounded to the nearest hundredth.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 15 October 2015

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