Number of the day: 7334

Properties of the number 7334:

7334 = 2 × 19 × 193 is a sphenic number and squarefree.
7334 has 3 distinct prime factors, 8 divisors, 5 antidivisors and 3456 totatives.
7334 has an emirp digit sum 17 in base 10.
Reversing the decimal digits of 7334 results in a prime.
7334 = 3² + 10² + 85² is the sum of 3 positive squares.
7334² = 3610² + 6384² is the sum of 2 positive squares in 1 way.
7334² is the sum of 3 positive squares.
7334 is a proper divisor of 277³ - 1.
7334 is palindromic in (at least) the following bases: 52, and -78.
7334 in base 28 = 99q and consists of only the digits '9' and 'q'.
7334 in base 51 = 2ff and consists of only the digits '2' and 'f'.
7334 in base 52 = 2b2 and consists of only the digits '2' and 'b'.
7334 in base 60 = 22E and consists of only the digits '2' and 'E'.

The number 7334 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A026135: Number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also sum of numbers in row n+1 of the array T defined in A026120.
A051743: a(n) = (1/24)*n*(n + 5)*(n^2 + n + 6).
A105210: a(1) = 393; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).
A108433: Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and have k hills of the form ud (a hill is either a ud or a Udd starting at the x-axis).
A126264: a(n) = 5*n^2 + 3*n.
A172139: Number of ways to place 4 nonattacking zebras on an n X n board.
A191653: Number of n-step two-sided prudent self-avoiding walks ending at the north-west corner of their box.
A238335: Square roots of numbers in A238334.
A242606: Start of a triplet of consecutive squarefree numbers each of which has exactly 3 distinct prime factors.
A258522: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically