Properties of the Number 23478

Twenty-Three Thousand Four Hundred Seventy-Eight

Basics

Value: 23477 → 23478 → 23479

Parity: even

Prime: No

Previous Prime: 23473

Next Prime: 23497

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 13 × 43

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101110110110

Octal: 55666

Duodecimal: 11706

Hexadecimal: 5bb6

Square: 551216484

Square Root: 153.22532427767936

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

Numbers n such that n divides the denominator of 2n-th Bernoulli number. A106741

a(n) is the number of partitions of n with Durfee square of size <= 3. A330641

Numbers k such that card({x|σ(x)=k}) > 1 and (∑_σ(x)=k x) < k. A258931

Least positive integer k such that k·n+1 = prime(p) and k²*n+1 = prime(q) for some pair of primes p and q. A261437

a(n) = ∑_k=1..n k·floor(n/k)³. A350108

a(1) = 1, a(2) = 2; for n >= 2, a(n+1) = a(n) + sum of the unique prime factors of a(n). A96460

a(n) = 13·n*(n+1). A173307

Total number of parts of multiplicity 4 in all partitions of n. A222704

a(n) = ∑_k=0..(n-1)/2 (n+2-k)*binomial(n-1-k,k). A271785

Numbers k which can be split into two numbers·and y such that x³ + y² is a multiple of k. A162451