Properties of the Number 40668

Forty Thousand Six Hundred Sixty-Eight

Basics

Value: 40667 → 40668 → 40669

Parity: even

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3389

Divisors: 1, 2, 3, 4, 6, 12, 3389, 6778, 10167, 13556

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111011011100

Octal: 117334

Duodecimal: 1B650

Hexadecimal: 9edc

Square: 1653886224

Square Root: 201.66308536764978

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

Total number of triangular numbers in all compositions of n. A309536

Number of strings of numbers x(i=1..n) in 0..4 with sum i·x(i)² equal to n·16. A184436

Augmentation of the Euler partition triangle A026820. See Comments. A193591

Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252516

Multiplicity of highest weight (or singular) vectors associated with character chi₇₃ of Monster module. A34461

Continued fraction for sqrt(695). A40668