Properties of the Number 35404

Thirty-Five Thousand Four Hundred Four

Basics

Value: 35403 → 35404 → 35405

Parity: even

Prime: No

Previous Prime: 35401

Next Prime: 35407

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 53 × 167

Divisors: 1, 2, 4, 53, 106, 167, 212, 334, 668, 8851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000101001001100

Octal: 105114

Duodecimal: 185A4

Hexadecimal: 8a4c

Square: 1253443216

Square Root: 188.1595068020747

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

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259003

Number of (7+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259012

Numbers n such that σ(n) - σ(reverse(n)) = φ(n). A71847

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259006

Limit of the position of the n-th partition into parts 5k+1 or 5k+4 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5). A35404