440 (number)

Last updated
439 440 441
Cardinal four hundred forty
Ordinal 440th
(four hundred fortieth)
Factorization 23 × 5 × 11
Divisors 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greek numeral ΥΜ´
Roman numeral CDXL
Binary 1101110002
Ternary 1210223
Senary 20126
Octal 6708
Duodecimal 30812
Hexadecimal 1B816
Hebrew מת (Tav)(Mem)

440 (four hundred [and] forty) is the natural number following 439 and preceding 441.

Contents

In mathematics

440 has the factorization 23 · 5 · 11.

440 is:

In science

Related Research Articles

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This is a list of the fundamental frequencies in hertz (cycles per second) of the keys of a modern 88-key standard or 108-key extended piano in twelve-tone equal temperament, with the 49th key, the fifth A (called A4), tuned to 440 Hz (referred to as A440). Every octave is made of twelve steps called semitones. A jump from the lowest semitone to the highest semitone in one octave doubles the frequency (for example, the fifth A is 440 Hz and the sixth A is 880 Hz). The frequency of a pitch is derived by multiplying (ascending) or dividing (descending) the frequency of the previous pitch by the twelfth root of two (approximately 1.059463). For example, to get the frequency one semitone up from A4 (A4), multiply 440 Hz by the twelfth root of two. To go from A4 up two semitones (one whole tone) to B4, multiply 440 twice by the twelfth root of two (or once by the sixth root of two, approximately 1.122462). To go from A4 up three semitones to C5 (a minor third), multiply 440 Hz three times by the twelfth root of two (or once by the fourth root of two, approximately 1.189207). For other tuning schemes, refer to musical tuning.

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References

  1. "Facts about the number 440". Numbermatics - the number explorer. Retrieved 21 March 2017.
  2. Guy, Richard (9 March 2013). Unsolved Problems in Number Theory. Springer Science & Business Media. p. 358. ISBN   9780387266770.