Properties of the Number 35359

Thirty-Five Thousand Three Hundred Fifty-Nine

Basics

Value: 35358 → 35359 → 35360

Parity: odd

Prime: No

Previous Prime: 35353

Next Prime: 35363

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19 × 1861

Divisors: 1, 19, 1861, 35359

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000011111

Octal: 105037

Duodecimal: 18567

Hexadecimal: 8a1f

Square: 1250258881

Square Root: 188.03988938520465

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) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A381529

Number of partitions of n with difference 9 between the number of odd parts and the number of even parts, both counted without multiplicity. A242700

a(n) is the denominator of the generalized continued fraction with terms σ(m)/m for m=1 to n. A254060

Number of 2 X 2 matrices with all terms in {-n,..,0,..,n} and (sum of terms) = determinant. A281194

Number of (n+1) X 4 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A204646

Smallest k > 1 such that none of k² - 0, k² - 1, k² - 2,..., k² - n are squarefree. A270442

Number of partitions-into-distinct-parts of n (A000009) is a prime. A35359