About the Number 408 (four hundred eight)

408 was the smallest number without a nBAB on 8 April 2017.

MathBabbler Number Analyst (MBNA) output:
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408 is natural, counting, whole, integer
408 is even (not odd)
408 proper divisors are: 1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,
408 has 15 proper divisors
408 is abundant (sum of divisors is 672; ratio: 1.64706)
408 is unhappy
408 is not a Squarefree Number: 4,
408 is Harshad (Niven) number
408 is composite (not prime)
408 has the prime factors: 2*2*2*3*17 (sum=26)
408 is a 17-smooth number
408 is the sum of 3 distinct cubes (1^3 + 4^3 + 7^3)
408 is *not* arithmetic (A003601)
408 is the sum of 8 consecutive primes
408 = 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67
408 in octal is 0630
408 in hexadecimal is 0x198
408 in binary is 110011000 (is evil)
408 nearest square numbers: -8...33 (400...441 [21])
sqrt(408) = 20.199
ln(408) = 6.01127
log(408) = 2.61066
408! is 4.58888e+889
408 is 129.87 Pi years
408 is 20 score and 8 years
408 written as a Roman numeral is CDVIII
408 is 103^2 - 101^2 and 2 * (103 + 101)
408 is a multiple of 4 & it contains a 4 (A121024)
408 is a multiple of 8 & it contains a 8 (A121028)
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408 reciprocal is 0.0024509803921568627
remainders: 
1,10,100,184,208,40,400,328,16,160,376,88,64,232,280,352,256,112,304,184

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 08 April 2017

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