Properties of the Number 3378

Three Thousand Three Hundred Seventy-Eight

Basics

Value: 3377 → 3378 → 3379

Parity: even

Prime: No

Previous Prime: 3373

Next Prime: 3389

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 563

Divisors: 1, 2, 3, 6, 563, 1126, 1689, 3378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110010

Octal: 6462

Duodecimal: 1B56

Hexadecimal: d32

Square: 11410884

Square Root: 58.12056434688156

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n not containing their mean. A327472

a(n) = floor(n(n+2)(2n+1)/8). A2717

Triangle of polynomial coefficients related to the series expansions of (1-x)^(-1-2·n/2). A161198

Partial sums of A097988 (d₃(n)²). A330570

Number of Look-and-Say partitions (A239455) of n without distinct multiplicities, i.e., those that are not Wilf partitions (A098859). A351592

Sum of the n-th maximal antirun of odd primes differing by more than two. A373405

List of distinct numbers appearing as denominators of Bernoulli numbers. A90801

Numbers k such that k² is a palindrome when written in base 17. A118651

Matrix cube of triangle A121412. A121420

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2. A209073