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Properties of the Number 3412

Three Thousand Four Hundred Twelve

Basics

Value: 3411 → 3412 → 3413

Parity: even

Prime: No

Previous Prime: 3407

Next Prime: 3413

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 2 × 853

Divisors: 1, 2, 4, 853, 1706, 3412

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101010100

Octal: 6524

Duodecimal: 1B84

Hexadecimal: d54

Square: 11641744

Square Root: 58.412327466040935

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

Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically. A30299
Roman numerals written using 1 for I, 2 for V, 3 for X, 4 for L, 5 for C, 6 for D, 7 for M. A61493
Numbers that contain the product of any two adjacent digits as a substring, and have at least one pair of adjacent digits > 1. A203566
Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 3412; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2-1)), read by rows. A264319
Number of permutations of [n] avoiding the patterns {2143, 2341, 2413, 2431, 3142, 3241, 3412, 3421, 4123, 4213, 4231, 4321, 4132, 4312}; number of strong sorting classes based on 2143. A111284
Number of partitions p of n into distinct parts not including mean(p). A240851
Least number k such that there are exactly n ways to choose a multiset consisting of a binary index of each binary index of k. A367913
Sorted positions of first appearances in A367912 (number of multisets that can be obtained by choosing a binary index of each binary index). A367915
Base 7 representation of the concatenation of the first n numbers with the most significant digits first. A97582
Number of 4's among the digits of all n-digit primes. A152276