Properties of the Number 3400

Three Thousand Four Hundred

Basics

Value: 3399 → 3400 → 3401

Parity: even

Prime: No

Previous Prime: 3391

Next Prime: 3407

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 5 ² × 17

Divisors: 1, 2, 4, 5, 8, 10, 17, 20, 25, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001000

Octal: 6510

Duodecimal: 1B74

Hexadecimal: d48

Square: 11560000

Square Root: 58.309518948453004

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

Numbers that are the sum of 3 positive 5th powers. A3348

a(n) = (1/3)*(n² + 2·n + 3)*(n+1)². A14820

a(n) = n*(2·n+5). A33537

Expansion of Product (1 - x^k)⁸ in powers of x. A731

Even octagonal numbers: a(n) = 4·n*(3·n-1). A14642

Sum of fifth powers of three consecutive primes. A133532

Number of distinct products ijk with 1 <= i,j,k <= n. A27425

Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n. A114169

Rectangular array of coefficients in successive iterations of x·exp(x), as read by antidiagonals. A174480