Properties of the Number 34245

Thirty-Four Thousand Two Hundred Forty-Five

Basics

Value: 34244 → 34245 → 34246

Parity: odd

Prime: No

Previous Prime: 34231

Next Prime: 34253

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 761

Divisors: 1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010111000101

Octal: 102705

Duodecimal: 17999

Hexadecimal: 85c5

Square: 1172720025

Square Root: 185.05404615949362

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 T(n,k) of sequences in {1,...,n}ⁿ with longest increasing subsequence of length k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A245667

Number of partitions of n where the difference between consecutive parts is at most 3. A238863

Number of sequences in {1,...,n}ⁿ with longest increasing subsequence of length n-2. A268936

Triangle read by rows in which each new term is the sum of its two largest neighbors in the structure. A278645

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207685

Number of sequences in {1,...,n}ⁿ with longest increasing subsequence of length six. A268873

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207682

Number of quaternary codes (not necessarily linear) of length n with 8 words. A34245