Properties of the Number 34412

Thirty-Four Thousand Four Hundred Twelve

Basics

Value: 34411 → 34412 → 34413

Parity: even

Prime: No

Previous Prime: 34403

Next Prime: 34421

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1229

Divisors: 1, 2, 4, 7, 14, 28, 1229, 2458, 4916, 8603

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011001101100

Octal: 103154

Duodecimal: 17AB8

Hexadecimal: 866c

Square: 1184185744

Square Root: 185.5047169211608

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 partitions of at most n into at most 5 parts. A2622

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = [xⁿ] 1/(1 - x*(1+x)^k)ⁿ. A362078

Maximum of min(primeimplicants(f),primeimplicants(NOT f)) over all symmetric Boolean functions of n variables. A109452

Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207686

Multiplicity of highest weight (or singular) vectors associated with character chi₂₄ of Monster module. A34412

A triangle sequence derived from setting an Euler numbers A122045 generalization equal to the MacMahon numbers A060187 to get a generating function expansion: p(x,t) = (exp(t)* (1 - exp(x))* x)/(exp(2 t + t x) + exp(t)* x - exp(t·x)* x). A178234