Properties of the Number 36354

Thirty-Six Thousand Three Hundred Fifty-Four

Basics

Value: 36353 → 36354 → 36355

Parity: even

Prime: No

Previous Prime: 36353

Next Prime: 36373

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 73 × 83

Divisors: 1, 2, 3, 6, 73, 83, 146, 166, 219, 249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111000000010

Octal: 107002

Duodecimal: 19056

Hexadecimal: 8e02

Square: 1321613316

Square Root: 190.66724941635886

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 planar partitions of n where parts strictly decrease along each row and column. A114736

Number of partitions of n into distinct parts with boundary size 8. A227565

Expansion of f(-x, -x⁵)² / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A263041

Largest fixed point in base n for the sum of the fourth power of its digits. A226064

Positive numbers k such that the decimal expansion of k² appears in the concatenation of the first k positive integers. A343536

Triangle, read by rows, where row n equals the coefficients of y^k in R_n-1(y+y²) for k=2..n, where R_n(y) is the n-th row polynomial in y for n>=2 with R₂(y)=y². A187115

Heptagonal square numbers. A36354

G.f. A(x) satisfies: [x^m+2] A(F^m(x)) = 0 for m>0 where F^m(x) denotes the m-th iteration of F(x) = x+x² with F⁰(x)=x. A187119

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum. A256765