Properties of the Number 78404

Seventy-Eight Thousand Four Hundred Four

Basics

Value: 78403 → 78404 → 78405

Parity: even

Prime: No

Previous Prime: 78401

Next Prime: 78427

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 17 × 1153

Divisors: 1, 2, 4, 17, 34, 68, 1153, 2306, 4612, 19601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001001000100

Octal: 231104

Duodecimal: 39458

Hexadecimal: 13244

Square: 6147187216

Square Root: 280.0071427660373

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

Rounded volume of a regular icosahedron with edge length n. A71402

Numerators of continued fraction convergents to sqrt(512). A41978

Number of length n+2 0..3 arrays with no pair in any consecutive three terms totalling exactly 3. A245990

Number of n X 2 0..5 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201136

Number of (n+1) X 7 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204649

Antidiagonal sums of A373005. A373006

a(n) = self-convolution of row n of array T given by A026148. A27329

T(n,k)=Number of length n+2 0..k arrays with no pair in any consecutive three terms totalling exactly k. A245995

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204651

Expansion of Molien series for a certain 4-D group of order 192. A78404