684

Names of 684

• Cardinal: 684 can be written as Six hundred eighty-four.

Scientific notation

• Scientific notation: 6.84 × 10²

Factors of 684

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 24

Divisors of 684

• Number of divisors d(n): 18
• Complete list of divisors:
  1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684
• Sum of all divisors σ(n): 1820
• Sum of proper divisors (its aliquot sum) s(n): 1136
• 684 is an abundant number, because the sum of its proper divisors (1136) is greater than itself. Its abundance is 452

Bases of 684

• Binary: 1010101100₂
• Hexadecimal: 0x2AC
• Base-36: J0

Squares and roots of 684

• 684 squared (684²) is 467856
• 684 cubed (684³) is 320013504
• The square root of 684 is 26.1533936613
• The cube root of 684 is 8.8108681149

Scales and comparisons

• 684 seconds is equal to 11 minutes, 24 seconds.
• To count from 1 to 684 would take you about five minutes.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 684 cubic inches would be around 0.7 feet tall.

Recreational maths with 684

• 684 backwards is 486
• 684 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 684's digits is 18
• More coming soon!