Tuesday, July 26, 2022

Number of the day: 3430

Properties of the number 3430:

3430 = 2 × 5 × 73 is the 2949th composite number and is not squarefree.
3430 has 3 distinct prime factors, 16 divisors, 11 antidivisors and 1176 totatives.
3430 has a semiprime digit sum 10 in base 10.
3430 has a triangular digit sum 10 in base 10.
3430 = 73 + 73 + 143 is the sum of 3 positive cubes in 1 way.
3430 is the sum of 2 positive triangular numbers.
3430 is the difference of 2 positive pentagonal numbers in 4 ways.
3430 = 92 + 102 + 572 is the sum of 3 positive squares.
34302 = 20582 + 27442 is the sum of 2 positive squares in 1 way.
34302 is the sum of 3 positive squares.
3430 is a proper divisor of 13734 - 1.
3430 is palindromic in (at least) the following bases: 18, 21, 25, 69, 97, and -19.
3430 in base 16 = d66 and consists of only the digits '6' and 'd'.
3430 in base 18 = aaa and consists of only the digit 'a'.
3430 in base 19 = 99a and consists of only the digits '9' and 'a'.
3430 in base 21 = 7g7 and consists of only the digits '7' and 'g'.
3430 in base 24 = 5mm and consists of only the digits '5' and 'm'.
3430 in base 25 = 5c5 and consists of only the digits '5' and 'c'.
3430 in base 58 = 118 and consists of only the digits '1' and '8'.

The number 3430 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A007727: Number of 2n-bead black-white strings with n black beads and fundamental period 2n.
A025632: Numbers of form 7^i*10^j, with i, j >= 0.
A027466: Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j).
A027474: a(n) = 7^(n-2) * C(n,2).
A051682: 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.
A088409: a(n) = A063416(n)/7.
A208688: T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically
A241638: Number of partitions p of n such that (number of even numbers in p) = (number of odd numbers in p).
A325793: Positive integers whose number of divisors is equal to their sum of prime indices.
A351255: Numbers whose k-th arithmetic derivative is zero for some k>0, ordered by their position in A276086.

No comments:

Post a Comment