Number of the day: 1356

Properties of the number 1356:

1356 = 2² × 3 × 113 is the 1138^th composite number and is not squarefree.
1356 has 3 distinct prime factors, 12 divisors, 3 antidivisors and 448 totatives.
1356 has an emirpimes digit sum 15 in base 10.
1356 has a triangular digit sum 15 in base 10.
1356 has an oblong digit product 90 in base 10.
1356 has sum of divisors equal to 3192 which is an oblong number.
Reversing the decimal digits of 1356 results in a sphenic number.
1356 = 8² + … + 16² is the sum of at least 2 consecutive positive squares in 1 way.
1356 = 340² - 338² = 116² - 110² is the difference of 2 nonnegative squares in 2 ways.
1356 is the difference of 2 positive pentagonal numbers in 1 way.
1356 = 14² + 22² + 26² is the sum of 3 positive squares.
1356² = 180² + 1344² is the sum of 2 positive squares in 1 way.
1356² is the sum of 3 positive squares.
1356 is a proper divisor of 227² - 1.
1356 is palindromic in (at least) the following bases: 15, and -15.
1356 in base 14 = 6cc and consists of only the digits '6' and 'c'.
1356 in base 15 = 606 and consists of only the digits '0' and '6'.
1356 in base 36 = 11o and consists of only the digits '1' and 'o'.

The number 1356 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001934: Expansion of 1/theta_4(q)^2 in powers of q.
A007534: Even numbers that are not the sum of a pair of twin primes.
A018039: Powers of cube root of 22 rounded down.
A018040: Powers of cube root of 22 rounded to nearest integer.
A046741: Triangle read by rows giving number of arrangements of k dumbbells on 2 X n grid (n >= 0, k >= 0).
A111871: Prime gaps q-p with n-th record merit referred to in A111870.
A162532: Numbers n such that their largest divisor <= sqrt(n) equals 12.
A215861: Number T(n,k) of simple labeled graphs on n nodes with exactly k connected components that are trees or cycles; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A250474: Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)^3: a(n) = A078898(A030078(n)).
A298118: Number of unlabeled rooted trees with n nodes in which all positive outdegrees are odd.