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Properties of the Number 34678

Thirty-Four Thousand Six Hundred Seventy-Eight

Basics

Value: 34677 → 34678 → 34679

Parity: even

Prime: No

Previous Prime: 34673

Next Prime: 34679

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 2477

Divisors: 1, 2, 7, 14, 2477, 4954, 17339, 34678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011101110110

Octal: 103566

Duodecimal: 1809A

Hexadecimal: 8776

Square: 1202563684

Square Root: 186.22029964533942

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) = Number of (n+1) X (k+1) binary arrays with every 2 X 2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum. A186128
Number of finite sets of positive integers whose right half (exclusive) sums to n. A360954
Trajectory of 262 under repeated application of the permutation A264965: a(0) = 262; for n >= 1, a(n) = A264965(a(n-1)). A264972
a(n) = A064837(n)/2. A64838
Positions of records in A268672. A268713
Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A186122
Number of (n+1)X8 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A186126
Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j3*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i3*x(i,j), i=1..n+1} nondecreasing. A232784
Guttmann-Torrie series coefficients cn21 for square lattice, with wedge angle π/2. A259803
Total number of permutations on {1,2,...,n} that have a unique longest increasing subsequence. A167995