Properties of the Number 67344

Sixty-Seven Thousand Three Hundred Forty-Four

Basics

Value: 67343 → 67344 → 67345

Parity: even

Prime: No

Previous Prime: 67343

Next Prime: 67349

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 23 × 61

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011100010000

Octal: 203420

Duodecimal: 32B80

Hexadecimal: 10710

Square: 4535214336

Square Root: 259.5072253329375

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

Expansion of ( ∑_k>=0 k² * q^k² )⁴. A347803

Number of ternary words of length n in which all digits 0..2 occur in every 6 consecutive digits. A249019

(1+e)-σ amicable numbers. A274116

G.f.: x² * f''(x), where f(x) = ∏_k>=1 (1 + x^k). A278407

Lesser of recursive amicable numbers pair: numbers m < k such that m = s(k) and k = s(m), where s(k) = A333926(k) - k is the sum of proper recursive divisors of k. A333929

Numbers k such that 273·2^k + 1 is prime. A53353

Triangle read by rows: T(n,k) = T(n-1,k-1) +T(n-1,k) +n*(n-1)*T(n-2,k-1) for n>4 and 1<=k<=n. A153592

Sum of decimal digits of square of divisors of n equals sum of square of digits of n. A67344