Properties of the Number 67304

Sixty-Seven Thousand Three Hundred Four

Basics

Value: 67303 → 67304 → 67305

Parity: even

Prime: No

Previous Prime: 67289

Next Prime: 67307

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 47 × 179

Divisors: 1, 2, 4, 8, 47, 94, 179, 188, 358, 376

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011011101000

Octal: 203350

Duodecimal: 32B48

Hexadecimal: 106e8

Square: 4529828416

Square Root: 259.43014474035203

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

Consider a non-palindromic number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A241503

Ceiling of γ(n+1/2)/γ(1/2). A20135

Nearest integer to γ(n + 1/2)/γ(1/2). A20045

Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n. A158141

Smallest n-aspiring number. That is, a(n) = smallest k such that sⁿ(k) is perfect but s^n-1(k) is not, where s(k) is the sum of the aliquot parts of k and sⁱ means iterate s i times. A99771

a(n) = (A242804(n)-9)/12. A257044

Generalized Catalan triangle A067298 with row reversion. A67304

Seventh convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. A73384