Properties of the Number 3380

Three Thousand Three Hundred Eighty

Basics

Value: 3379 → 3380 → 3381

Parity: even

Prime: No

Previous Prime: 3373

Next Prime: 3389

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 13 ²

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110100

Octal: 6464

Duodecimal: 1B58

Hexadecimal: d34

Square: 11424400

Square Root: 58.137767414994535

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

a(n) = 5·n². A33429

Numbers whose unsorted prime signature is not unimodal. A332282

Heinz numbers of perfect integer partitions. A325780

Number of partitions of n into distinct parts (a₁, a₂, ... , a_m) (a₁ > a₂ > ... > a_m and ∑_k=1..m a_k = n) such that a1 - a2, a2 - a3, ..., a_m-1 - a_m are different. A320347

First member of the Diophantine pair (m,k) that satisfies 6(m² + m) = k² + k: a(n) = m. A77288

Concentric 20-gonal numbers. A195148

Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 9 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=2·floor(n/3), read by rows. A238582

Inverse Euler transform of the Moebius function A008683. A320781

Number of ways of writing n as a sum of 10 squares. A144

a(n) = 20·n². A195322