1664

Names of 1664

• Cardinal: 1664 can be written as One thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.664 × 10³

Factors of 1664

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 15

Divisors of 1664

• Number of divisors d(n): 16
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664
• Sum of all divisors σ(n): 3570
• Sum of proper divisors (its aliquot sum) s(n): 1906
• 1664 is an abundant number, because the sum of its proper divisors (1906) is greater than itself. Its abundance is 242

Bases of 1664

• Binary: 11010000000₂
• Hexadecimal: 0x680
• Base-36: 1A8

Squares and roots of 1664

• 1664 squared (1664²) is 2768896
• 1664 cubed (1664³) is 4607442944
• The square root of 1664 is 40.7921561087
• The cube root of 1664 is 11.8499842739

Scales and comparisons

• 1,664 seconds is equal to 27 minutes, 44 seconds.
• To count from 1 to 1,664 would take you about twenty-seven 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 1664 cubic inches would be around 1 feet tall.

Recreational maths with 1664

• 1664 backwards is 4661
• The number of decimal digits it has is: 4
• The sum of 1664's digits is 17
• More coming soon!