Properties of the Number 38420

Thirty-Eight Thousand Four Hundred Twenty

Basics

Value: 38419 → 38420 → 38421

Parity: even

Prime: No

Previous Prime: 38393

Next Prime: 38431

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 17 × 113

Divisors: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011000010100

Octal: 113024

Duodecimal: 1A298

Hexadecimal: 9614

Square: 1476096400

Square Root: 196.01020381602586

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299588

Number of partitions of n² into at most three parts. A274250

a(n) = n⁴+4 = (n²-2·n+2)*(n²+2·n+2) = ((n-1)²+1)*((n+1)²+1). A57781

Number of integers k such that floor((rⁿ)/k)=n, where r = golden ratio = (1+sqrt(5))/2. A182613

a(n) = 16·n⁴ + 4. A222655

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 98. A31776

T(n+3,3) with T as in A036355. A36682

Number of nX6 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299586

Number of n X n 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299582

Expansion of ∏_k>=1 (1 - x^prime(k))^prime(k). A300521