Saturday, January 12, 2019

Number of the day: 386

Properties of the number 386:

386 = 2 × 193 is semiprime and squarefree.
386 has 2 distinct prime factors, 4 divisors, 3 antidivisors and 192 totatives.
386 has an emirp digit sum 17 in base 10.
386 has a Fibonacci digit product 144 in base 10.
386 has sum of divisors equal to 582 which is a sphenic number.
Reversing the decimal digits of 386 results in a prime.
386 = 93 - 73 is the difference of 2 positive cubes in 1 way.
386 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
386 = 52 + 192 is the sum of 2 positive squares in 1 way.
386 = 42 + 92 + 172 is the sum of 3 positive squares.
3862 = 1902 + 3362 is the sum of 2 positive squares in 1 way.
3862 is the sum of 3 positive squares.
386 is a proper divisor of 15432 - 1.
386 = '38' + '6' is the concatenation of 2 semiprime numbers.
386 is an emirpimes in (at least) the following bases: 5, 8, 9, 11, 14, 17, 19, 26, 28, 29, 31, 35, 41, 43, 47, 50, 51, 53, 55, 59, 61, 64, 68, 71, 73, 74, 77, 79, 83, 93, 98, and 100.
386 is palindromic in (at least) the following bases: 12, -16, -35, -55, and -77.
386 in base 12 = 282 and consists of only the digits '2' and '8'.
386 in base 19 = 116 and consists of only the digits '1' and '6'.

The number 386 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000127: Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.
A000346: a(n) = 2^(2*n+1) - binomial(2*n+1, n+1).
A005574: Numbers k such that k^2 + 1 is prime.
A005897: a(n) = 6*n^2 + 2 for n > 0, a(0)=1.
A038593: Differences between positive cubes in 1, 2 or 3 ways: union of A014439, A014440 and A014441.
A051783: Numbers k such that 3^k + 2 is prime.
A069099: Centered heptagonal numbers.
A100484: Even semiprimes.
A161344: Numbers k with A033676(k)=2, where A033676 is the largest divisor <= sqrt(k).
A299259: Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576).

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