Properties of the Number 34800

Thirty-Four Thousand Eight Hundred

Basics

Value: 34799 → 34800 → 34801

Parity: even

Prime: No

Previous Prime: 34781

Next Prime: 34807

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 29

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011111110000

Octal: 103760

Duodecimal: 18180

Hexadecimal: 87f0

Square: 1211040000

Square Root: 186.5475810617763

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

a(n) = n*(n + 1)*(5·n - 4)/2. A237616

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=12. A135197

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(n,k) is the constant term in the expansion of ((∑_j=-n..n x^j) * (∑_j=-n..n y^j) - (∑_j=-n+1..n-1 x^j) * (∑_j=-n+1..n-1 y^j))^k. A329074

Total number of prime power parts in all partitions of n. A73335

a(n) = (1/12)*(n+5)*(n+1)*n². A14205

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock. A236592

a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4) with a(0)=0, a(1)=1, a(2)=2 and a(3)=3. A135431

Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z. A212522

Numbers which divide the concatenation, in ascending order, of their anti-divisors. A249764

Constant term in the expansion of ((∑_k=-3..3 x^k) * (∑_k=-3..3 y^k) - (∑_k=-2..2 x^k) * (∑_k=-2..2 y^k))ⁿ. A329077