Monday, 6 February 2012

34 (thirty four)

34 (thirty-four) is the natural number following 33 and preceding 35.

34 is the ninth distinct semiprime and has four divisors including unity and itself.

34 is the ninth Fibonacci number and a companion Pell number. Since it is an odd-indexed Fibonacci number, 34 is a Markov number, appearing in solutions with other Fibonacci numbers, such as (1, 13, 34), (1, 34, 89), etc.

34 is the magic constant of a 4 by 4 normal magic square.

34 is a heptagonal number. It has the aliquot sum, 20, in the following descending sequence 34,20,22,14,10,8,7,1. and it is the 6th composite member of the 7-aliquot tree. There is no solution to the equation φ(x) = 34, making 34 a nontotient. Nor is there a solution to the equation x - φ(x) = 34, making 34 a noncototient.

34 is the atomic number of selenium.

Messier object M34 is a magnitude 6.0 open cluster in the constellation Perseus.
The New General Catalogue object NGC 34 is a peculiar galaxy in the constellation Cetus.

34 is the Saros number of the solar eclipse series which began on 1917 BC August and ended on 384 BC February. The duration of Saros series 34 was 1532.5 years, and it contained 86 solar eclipses.

34 is the Saros number of the lunar eclipse series which began on 1633 BC May and ended on 335 BC June. The duration of Saros series 34 was 1298.1 years, and it contained 73 lunar eclipses.

The jersey number 34 has been retired by several North American sports teams in honor of past playing greats or other key figures:
Nolan Ryan of the The Houston Astros and Texas Rangers
Kirby Puckett of the The Minnesota Twins
Rollie Fingers of the Oakland Athletics and Milwaukee Brewers.
Hakeem Olajuwon of the Houston Rockets
Walter Payton of the The Chicago Bears
Earl Campbell of the The Houston Oilers

34 is also:
The traffic code of Istanbul, Turkey
A song by the Dave Matthews Band
In the title of the 1947 movie Miracle on 34th Street, remade in 1994
The number of the French department Hérault
The code for international direct-dial phone calls to Spain

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