Properties of the Number 40284

Forty Thousand Two Hundred Eighty-Four

Basics

Value: 40283 → 40284 → 40285

Parity: even

Prime: No

Previous Prime: 40283

Next Prime: 40289

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 373

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110101011100

Octal: 116534

Duodecimal: 1B390

Hexadecimal: 9d5c

Square: 1622800656

Square Root: 200.70874420413278

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

Number of partitions of n such that (number parts having multiplicity 1) is a part or (number of 1s) is a part. A241510

Number of lattice paths from (0,0) to (n,n) using steps (1,0), (2,0), (0,2), (1,1). A192368

Number T(n,k) of reduced decompositions for all permutations of [n] with exactly k inversions; triangle T(n,k), n>=0, 0<=k<=n*(n-1)/2, read by rows. A289778

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record high value. A389559

Triangular array read by rows: a(n,k) = ∑_d∣k μ(d)*U(n,k/d)/n if k∣n else 0, where U(n,k) = A047916(n,k) (1<=k<=n). A47919

Triangular array, T(n,k) = s(n,k) + s(n,n-k), where s(n,k) are the Stirling numbers of the first kind. A154843

Number of nondecreasing sequences of n 1..6 integers with no element dividing the sequence sum. A212866

a(n) = n! - (n-2)². A127065

Number of regions in a regular n-gon with all diagonals drawn whose edges all have a different number of facing edges. A350718

Convolution of the lower and upper Wythoff sequences (A000201 and A001950). A23664