### About the Number 341 (three hundred forty-one)

Pat Ballew is a retired math teacher who blogs about math. On 7 December 2015, Pat Ballew blogged that it was day 341 of the year. In his posting Pat mentioned that 341 was the "smallest number with seven representations as a sum of three positive squares." Hmm... On the 341th day of 2015, the MBNA was not checking numbers to see if they're the sum of three positive squares; however, it did find that 341 was the sum of seven consecutive primes.

```MathBabbler Number Analyst (MBNA) output:
=========================================
341 is a natural, whole, integer
341 is odd
341 proper divisors are: 1,11,31,
341 has 3 proper divisors
341 is deficient (sum of divisors is 43; ratio: 0.1261)
341 is unhappy
341 is a Squarefree Number
341 is composite (not prime)
341 has the prime factors: 11*31 (sum=42)
341 is semiprime (biprime or 2-almost prime)
341 is Arithmetic (A003601)
341 is the sum of 7 consecutive primes
341 = 37 + 41 + 43 + 47 + 53 + 59 + 61
341 in octal is 0525
341 in binary is 101010101 (is odious)(is palindromic)
341 nearest square numbers: -17...20 (324...361 [19])
sqrt(341) = 18.4662
ln(341) = 5.83188
log(341) = 2.53275
341 reciprocal is .00293255131964809384164222873900
341! is 1.73939e+717
341 is 108.544 Pi years
341 is 17 score and 1 year
341 written as a Roman numeral is CCCXLI
341 is 171^2 - 170^2 and 171 + 170 = 341
341 is a multiple of 1 & it contains a 1 (A011531)
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 09 December 2015 (posted 10 December 2015)