Properties of the Number 34385

Thirty-Four Thousand Three Hundred Eighty-Five

Basics

Value: 34384 → 34385 → 34386

Parity: odd

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 × 23 ²

Divisors: 1, 5, 13, 23, 65, 115, 299, 529, 1495, 2645

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011001010001

Octal: 103121

Duodecimal: 17A95

Hexadecimal: 8651

Square: 1182328225

Square Root: 185.43192821086663

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

Cancellation factor in reducing ∑_k=0...n 1/k! to lowest terms. A93101

a(n) = (2·n-1)*(n² -n +2)/2. A63488

G.f. A(x) satisfies: A(x) = ∑_n>=0 xⁿ / (1 - xⁿ⁺¹*A(x)²). A340356

Triangle read by rows. Number T(n, k) of partitions of the multiset [1, 1, 1, 1, 2, 2, 2, 2, ..., n, n, n, n] into k nonempty subsets, for 4 <= k <= 4n. A360038

Records in A093101. A93647

4*(n + 7)³ - 27*(n + 7)² = (4·n +1)*(n+7)². A245033

a(n) = 4·prime(n)³ - 27·prime(n)² = (prime(n)²)*[4·prime(n) - 27], n >= 4. A245036

a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3. A22860

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 11 (most significant digit on right and removing all least significant zeros before concatenation). A29528

a(n) = 65·n². A165798