Properties of the Number 3345

Three Thousand Three Hundred Forty-Five

Basics

Value: 3344 → 3345 → 3346

Parity: odd

Prime: No

Previous Prime: 3343

Next Prime: 3347

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 223

Divisors: 1, 3, 5, 15, 223, 669, 1115, 3345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010001

Octal: 6421

Duodecimal: 1B29

Hexadecimal: d11

Square: 11189025

Square Root: 57.83597496368502

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 2n in which every part is <n+1; also, the number of partitions of 2 into rational numbers a/b such that 0<a<=b<=n and b divides n. A209816

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

Number of partitions of n with no part larger than n/2. Also partitions of n into n/2 or fewer parts. A110618

Number of integer partitions of n whose greatest part is at most one more than the sum of the other parts. A336106

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n. A66321

Number of strict integer partitions of n with no part dividing or divisible by all the other parts. A343379

The number of medial quasigroups of order n, up to isomorphism. A226193

Numbers k such that p=k²+2 and p+2 are primes. A86381

Positions of 10 after decimal point in decimal expansion of 1/π. A134260

Positive numbers whose product of digits is 12 times their sum. A62045