### Properties of the number 30408:

30408 = 2^{3}× 3 × 7 × 181 is the 27122

^{th}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 = 7603

^{2}- 7601

^{2}= 3803

^{2}- 3799

^{2}= 2537

^{2}- 2531

^{2}= 1273

^{2}- 1261

^{2}= 1093

^{2}- 1079

^{2}= 557

^{2}- 529

^{2}= 383

^{2}- 341

^{2}= 223

^{2}- 139

^{2}is the difference of 2 nonnegative squares in 8 ways.

30408 is the sum of 2 positive triangular numbers.

30408 = 40

^{2}+ 62

^{2}+ 158

^{2}is the sum of 3 positive squares.

30408

^{2}= 3192

^{2}+ 30240

^{2}is the sum of 2 positive squares in 1 way.

30408

^{2}is the sum of 3 positive squares.

30408 is a proper divisor of 743

^{4}- 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.

## No comments:

## Post a Comment