Properties of the Number 40349

Forty Thousand Three Hundred Forty-Nine

Basics

Value: 40348 → 40349 → 40350

Parity: odd

Prime: No

Previous Prime: 40343

Next Prime: 40351

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 157 × 257

Divisors: 1, 157, 257, 40349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110110011101

Octal: 116635

Duodecimal: 1B425

Hexadecimal: 9d9d

Square: 1628041801

Square Root: 200.8706051168264

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 standard Young tableaux with n cells such that the lengths of the first and the last row differ by 4. A244298

Number of length-(n+1) 0..2 arrays with new repeated values introduced in sequential order starting with zero. A268255

a(n) is the sum of the lengths of all the segments used to draw a rectangle of height partition(n) and width n divided into partition(n) rectangles of unit height, in turn, divided into rectangles of unit height and lengths corresponding to the parts of the partitions of n. A338969

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, 1), (1, -1, 1), (1, 0, -1)}. A149038

T(n,k)=Number of length-(n+1) 0..k arrays with new repeated values introduced in sequential order starting with zero. A268261

Continued fraction for sqrt(369). A40349