364
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 784
- Proper Divisor Sum (Aliquot Sum)
- 420
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 144
- Möbius Function
- 0
- Radical
- 182
- Omega Function (Ω)
- 4
- 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
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
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
- dreihundertvierundsechzig· ordinal: dreihundertvierundsechzigste
- English
- three hundred sixty-four· ordinal: three hundred sixty-fourth
- Spanish
- trescientos sesenta y cuatro· ordinal: 364º
- French
- trois cent soixante-quatre· ordinal: trois cent soixante-quatrième
- Italian
- trecentosessantaquattro· ordinal: 364º
- Latin
- trecenti sexaginta quattuor· ordinal: 364.
- Portuguese
- trezentos e sessenta e quatro· ordinal: 364º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=50A000068
- a(n) = floor(n^(3/2)).at n=51A000093
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=22A000223
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=12A000292
- a(n) = binomial(n,11).at n=3A001288
- Apply partial sum operator twice to Fibonacci numbers.at n=10A001924
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=51A001972
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=47A002154
- q-expansion of modular form of weight 13/2: eta(8 tau)^12 * theta(tau).at n=44A002284
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=6A002414
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=6A002492
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=27A002569
- a(n) = nearest integer to n^(3/2).at n=51A002821
- Beginnings of periodic unitary aliquot sequences.at n=28A003062
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=48A003105
- Number of partitions of n into parts 5k+2 or 5k+3.at n=44A003106
- Fibonomial Catalan numbers.at n=4A003150
- a(n) = A001950(A003234(n)) + 1.at n=37A003249
- a(n) = (3^n - 1)/2.at n=6A003462
- Degrees of irreducible representations of Suzuki group Suz.at n=2A003902