Sunday, June 25, 2017

Number of the day: 30408

Properties of the number 30408:

30408 = 23 × 3 × 7 × 181 is the 27122th composite number and is not squarefree.
30408 has 4 distinct prime factors, 32 divisors, 11 antidivisors and 8640 totatives.
30408 has an emirpimes digit sum 15 in base 10.
30408 has a triangular digit sum 15 in base 10.
Reversing the decimal digits of 30408 results in a semiprime.
30408 = 76032 - 76012 = 38032 - 37992 = 25372 - 25312 = 12732 - 12612 = 10932 - 10792 = 5572 - 5292 = 3832 - 3412 = 2232 - 1392 is the difference of 2 nonnegative squares in 8 ways.
30408 is the sum of 2 positive triangular numbers.
30408 = 402 + 622 + 1582 is the sum of 3 positive squares.
304082 = 31922 + 302402 is the sum of 2 positive squares in 1 way.
304082 is the sum of 3 positive squares.
30408 is a proper divisor of 7434 - 1.
30408 is palindromic in (at least) the following bases: 23, -36, -51, and -64.
30408 in base 19 = 4848 and consists of only the digits '4' and '8'.
30408 in base 23 = 2bb2 and consists of only the digits '2' and 'b'.
30408 in base 35 = oss and consists of only the digits 'o' and 's'.
30408 in base 50 = C88 and consists of only the digits '8' and 'C'.

The number 30408 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A097828: Partial sums of Chebyshev sequence S(n,13)= U(n,13/2)=A078362(n).
A111078: Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.
A141724: A triangle of coefficients of a double sum skew 4th level multinomial : t(n,m,k,l)=Sum[Sum[Multinomial[n - m - k - l, m, k, l], {l, 0, k}], {k, 0, m}].
A277631: Number of aperiodic necklaces (Lyndon words) with k<=6 black beads and n-k white beads.
A288564: Number of connected one-sided arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.

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