Number of the day: 1134

Pierre-Simon Laplace was born on this day 268 years ago.

Emmy Noether was born on this day 135 years ago.

Properties of the number 1134:

1134 = 2 × 3⁴ × 7 is the 944^th composite number and is not squarefree.
1134 has 3 distinct prime factors, 20 divisors, 9 antidivisors and 324 totatives.
1134 has a semiprime digit sum 9 in base 10.
1134 has an oblong digit product 12 in base 10.
1134 is the sum of 2 positive triangular numbers.
1134 = 2² + 13² + 31² is the sum of 3 positive squares.
1134² is the sum of 3 positive squares.
1134 is a divisor of 811² - 1.
1134 is palindromic in (at least) the following bases: 41, 53, 62, and 80.
1134 in base 33 = 11c and consists of only the digits '1' and 'c'.

The number 1134 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000969: G.f.: (1+x+2*x^2)/((1-x)^2*(1-x^3)).
A001158: sigma_3(n): sum of cubes of divisors of n.
A008290: Triangle T(n,k) of rencontres numbers (number of permutations of n elements with k fixed points).
A033485: a(n) = a(n-1) + a(floor(n/2)), a(1) = 1.
A045943: Triangular matchstick numbers: 3*n*(n+1)/2.
A046306: Numbers that are divisible by exactly 6 primes with multiplicity.
A057809: Numbers n such that pi(n) divides n.
A085787: Generalized heptagonal numbers: n*(5*n-3)/2, n=0, +-1, +-2 +-3, ...
A094159: 3 times hexagonal numbers: a(n) = 3*n*(2*n-1).
A179644: Product of the 4th power of a prime and 2 different distinct primes (p^4*q*r).