3840

Names of 3840

• Cardinal: 3840 can be written as Three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 3.84 × 10³

Factors of 3840

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10

Divisors of 3840

• Number of divisors d(n): 36
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840
• Sum of all divisors σ(n): 12264
• Sum of proper divisors (its aliquot sum) s(n): 8424
• 3840 is an abundant number, because the sum of its proper divisors (8424) is greater than itself. Its abundance is 4584

Bases of 3840

• Binary: 111100000000₂
• Hexadecimal: 0xF00
• Base-36: 2YO

Squares and roots of 3840

• 3840 squared (3840²) is 14745600
• 3840 cubed (3840³) is 56623104000
• The square root of 3840 is 61.9677335393
• The cube root of 3840 is 15.6594705647

Scales and comparisons

• 3,840 seconds is equal to 1 hour, 4 minutes.
• To count from 1 to 3,840 would take you about four 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 3840 cubic inches would be around 1.3 feet tall.

Recreational maths with 3840

• 3840 backwards is 0483
• 3840 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3840's digits is 15
• More coming soon!