Properties of the Number 1408

One Thousand Four Hundred Eight

Basics

Value: 1407 → 1408 → 1409

Parity: even

Prime: No

Previous Prime: 1399

Next Prime: 1409

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 11

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000

Octal: 2600

Duodecimal: 994

Hexadecimal: 580

Square: 1982464

Square Root: 37.52332607858744

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

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Numbers that are divisible by exactly 8 primes counting multiplicity. A46310

a(n) = n² + n + 2. A14206

Partial sums of A299291. A299292

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293765

A number k is included if (highest odd divisor of k)² <= k. A116882

Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n²/4) (i.e., A000217(n) + A002620(n)). A6578

Numbers with an even number of prime factors (counted with multiplicity) that cannot be factored into distinct semiprimes. A320892

Numbers that are the sum of 11 positive 7th powers. A3378