Properties of the Number 33349

Thirty-Three Thousand Three Hundred Forty-Nine

Basics

Value: 33348 → 33349 → 33350

Parity: odd

Prime: Yes

Previous Prime: 33347

Next Prime: 33353

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 33349

Divisors: 1, 33349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001001000101

Octal: 101105

Duodecimal: 17371

Hexadecimal: 8245

Square: 1112155801

Square Root: 182.61708572858126

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

Primes that remain prime when a single digit 3 is inserted between any two consecutive digits or as the leading or trailing digit. A215419

Primes having only {3, 4, 9} as digits. A199349

Primes containing the string 333. A166581

Frobenius number of the numerical semigroup generated by consecutive octahedral numbers. A69764

Primes p such that 2·prime(p) + 1 = prime(q) for some prime q. A261361

Primes p such that p⁴-p³+1 and p⁴-p³-1 are also primes. A238136

G.f.: 1-q = ∑_k>=0 a(k)*q^k*Faq(k+1,q), where Faq(n,q) is the q-factorial of n. A127926

Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458. A94459

Number of n X 4 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself. A196013

Primes having only {0, 3, 4, 9} as digits. A386060