378
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 960
- Proper Divisor Sum (Aliquot Sum)
- 582
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 108
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- Smith Number
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertachtundsiebzig· ordinal: dreihundertachtundsiebzigste
- English
- three hundred seventy-eight· ordinal: three hundred seventy-eighth
- Spanish
- trescientos setenta y ocho· ordinal: 378º
- French
- trois cent soixante-dix-huit· ordinal: trois cent soixante-dix-huitième
- Italian
- trecentosettantotto· ordinal: 378º
- Latin
- trecenti septuaginta octo· ordinal: 378.
- Portuguese
- trezentos e setenta e oito· ordinal: 378º
Appears in sequences
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=13A000125
- a(n) = 2*3^n*(2*n)!/(n!*(n+2)!).at n=4A000168
- Essentially the same as A001611.at n=12A000381
- Hexagonal numbers: a(n) = n*(2*n-1).at n=14A000384
- Card matching: coefficients B[n,2] of t^2 in the reduced hit polynomial A[n,n,n](t).at n=2A000535
- Number of n-state 2-input 1-output automata with one initial and one terminal state.at n=1A000591
- Expansion of Product_{k >= 1} (1 - x^k)^6.at n=65A000729
- Number of compositions of n into 3 ordered relatively prime parts.at n=28A000741
- Period of 1/n! in base 10.at n=13A000976
- Numbers that are the sum of 4 cubes in more than 1 way.at n=21A001245
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=49A001301
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=49A001302
- Number of n-bead necklaces with beads of 2 colors and primitive period n, when turning over is allowed.at n=13A001371
- Number of partitions of n into at most 4 parts.at n=33A001400
- Bending a piece of wire of length n+1 (configurations that can only be brought into coincidence by turning the figure over are counted as different).at n=6A001444
- Triangle of coefficients of Bessel polynomials (exponents in decreasing order).at n=33A001497
- Triangle a(n,k) (n >= 0, 0 <= k <= n) of coefficients of Bessel polynomials y_n(x) (exponents in increasing order).at n=30A001498
- a(n) = Fibonacci(n) + 1.at n=14A001611
- Coefficients of Bessel polynomials y_n (x).at n=2A001881
- Nearest integer to n^2/8.at n=55A001971