Properties of the Number 40338

Forty Thousand Three Hundred Thirty-Eight

Basics

Value: 40337 → 40338 → 40339

Parity: even

Prime: No

Previous Prime: 40289

Next Prime: 40343

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 83

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 83

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110110010010

Octal: 116622

Duodecimal: 1B416

Hexadecimal: 9d92

Square: 1627154244

Square Root: 200.84322243979258

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 sum T(n,k) of the sizes of all blocks with maximal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270701

Total sum T(n,k) of the sizes of all blocks with minimal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270702

Numbers that have exactly seven prime factors counted with multiplicity (A046308) whose digit reversal is different and also has 7 prime factors (with multiplicity). A109027

Poincaré series [or Poincare series] (or Molien series) for a certain five-fold wreath product P₅. A91726

Total sum of the sizes of all blocks with maximal element 3 in all set partitions of {1,2,...,n}. A270757

Total sum of the sizes of all blocks with minimal element 8 in all set partitions of {1,2,...,n}. A270771

Continued fraction for sqrt(357). A40338

Number of (n+1)X(n+1) -5..5 symmetric matrices with every 2X2 subblock having sum zero and two, three or four distinct values. A211336