Properties of the Number 30396

Thirty Thousand Three Hundred Ninety-Six

Basics

Value: 30395 → 30396 → 30397

Parity: even

Prime: No

Previous Prime: 30391

Next Prime: 30403

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 17 × 149

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011010111100

Octal: 73274

Duodecimal: 15710

Hexadecimal: 76bc

Square: 923916816

Square Root: 174.34448657758008

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 T(n,k) of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows. A287215

Number of integer compositions of n whose leaders of strictly decreasing runs are strictly increasing. A374762

a(n) is the surface area of the symmetric tower described in A221529 which is a polycube whose successive terraces are the symmetric representation of σ A000203(i) (from i = 1 to n) starting from the top and the levels of these terraces are the partition numbers A000041(h-1) (from h = 1 to n) starting from the base. A345023

Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals six. A322879

Numbers n not of the form i²+(i+1)² such that there are integers a < b with a²+(a+1)²+...+(n-1)² = n²+(n+1)²+...+b². A94523

Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and every three consecutive elements having its maximum within 4 of its minimum. A263701

Numbers whose number of divisors is a square. A36436

Number of 4Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors not equal to itself. A265994

a(n)=(# 1's)-(# 0's) in first n terms of A030386. A30396