Thursday, August 11, 2016

Number of the day: 74066

Properties of the number 74066:

74066 = 2 × 29 × 1277 is a sphenic number and squarefree.
74066 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 35728 totatives.
74066 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 74066 results in a prime.
74066 is the difference of 2 positive pentagonal numbers in 2 ways.
74066 = 1792 + 2052 = 252 + 2712 is the sum of 2 positive squares in 2 ways.
74066 = 292 + 442 + 2672 is the sum of 3 positive squares.
740662 = 510802 + 536342 = 135502 + 728162 = 99842 + 733902 = 433842 + 600302 is the sum of 2 positive squares in 4 ways.
740662 is the sum of 3 positive squares.
74066 is a divisor of 34722 - 1.
74066 is palindromic in (at least) the following bases: 59, 64, and -57.
74066 in base 42 = ffK and consists of only the digits 'K' and 'f'.
74066 in base 56 = NYY and consists of only the digits 'N' and 'Y'.
74066 in base 59 = LGL and consists of only the digits 'G' and 'L'.

The number 74066 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A031609: Numbers n such that continued fraction for sqrt(n) has odd period and central terms 21.

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