Properties of the Number 27349

Twenty-Seven Thousand Three Hundred Forty-Nine

Basics

Value: 27348 → 27349 → 27350

Parity: odd

Prime: No

Previous Prime: 27337

Next Prime: 27361

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 3907

Divisors: 1, 7, 3907, 27349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011010101

Octal: 65325

Duodecimal: 139B1

Hexadecimal: 6ad5

Square: 747967801

Square Root: 165.37533068750005

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

a(n) = (prime(n)³ - prime(n³))/2. A143680

Expansion of ∏_k>=0 1/(1-x^4·k+1)^4·k+1. A285048

Expansion of ∏_k>=0 1/(1 + x^4·k+1)^4·k+1. A285287

Number of tilings of a 2 X n rectangle using 2 X 2 and 1 X 1 tiles and right trominoes. A353964

Fundamental discriminants of real quadratic number fields with class number 9. A218159

Interprimes which are of the form s·prime, s=7. A75282

Number of strings of numbers x(i=1..5) in 0..n with sum i³*x(i) equal to 125·n. A184260

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 89", based on the 5-celled von Neumann neighborhood. A270131

Number of partitions of n into distinct odd parts, the least being 1. A27349

Triangle defined by T(n,k) = ∑_j=0..k C(k,j)*T(n-1,j+k) for n>k>0 with T(n,0)=T(n,n)=1, read by rows. A152798