Properties of the Number 34416

Thirty-Four Thousand Four Hundred Sixteen

Basics

Value: 34415 → 34416 → 34417

Parity: even

Prime: No

Previous Prime: 34403

Next Prime: 34421

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 239

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000011001110000

Octal: 103160

Duodecimal: 17B00

Hexadecimal: 8670

Square: 1184461056

Square Root: 185.51549800488368

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

Rectangular table, read by antidiagonals, defined by the following rule: start with all 1's in row zero; from then on, row n+1 equals the partial sums of row n excluding terms in columns k = m*(m+1)/2 - 2 (m>=2). A125781

T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21. A233875

Column 3 of table A125781; also, equals column 1 of matrix power A091351². A125783

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units with a trapezoid filled by 3 trapezoids. A391204

Row sums of A163334 and A163336. A163342

Structured pentakis dodecahedral numbers (vertex structure 6). A100173

T(n,k) = ∑_j=0..k (k-j)ⁿ * binomial(n,j). A215080

Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21. A233869

Number of (n+1)X(4+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 21. A233872

Column 4 of table A125781. A125784