Properties of the Number 34364

Thirty-Four Thousand Three Hundred Sixty-Four

Basics

Value: 34363 → 34364 → 34365

Parity: even

Prime: No

Previous Prime: 34361

Next Prime: 34367

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 11 ² × 71

Divisors: 1, 2, 4, 11, 22, 44, 71, 121, 142, 242

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011000111100

Octal: 103074

Duodecimal: 17A78

Hexadecimal: 863c

Square: 1180884496

Square Root: 185.3752950098799

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252243

Convolution of A000108(n+1), n >= 0, (Catalan numbers) with A038845 (3-fold convolution of powers of 4). A41001

a(n) = n + 2·binomial(n,2) + 3·binomial(n,3) + 4·binomial(n,4). A361099

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n,1) = T(n,n) = 1, otherwise T(n,k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = -4. A392665

Number of conjugacy classes in Chevalley group F₄(q) as q runs through the prime powers. A225931

Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252236

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252241

Triangle read by rows: T(n,k) (0 <= k <= n) is the rank of the ideal I_r in the inverse semigroup D_n of all difunctional relations on an n-element set. A294432

Triangle of number of indecomposable linear [ n,k ] ternary codes (n >= 1, k >= 1) without 0 columns. A34364