352
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 756
- Proper Divisor Sum (Aliquot Sum)
- 404
- 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
- 160
- Möbius Function
- 0
- Radical
- 22
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 19
- 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
- dreihundertzweiundfünfzig· ordinal: dreihundertzweiundfünfzigste
- English
- three hundred fifty-two· ordinal: three hundred fifty-second
- Spanish
- trescientos cincuenta y dos· ordinal: 352º
- French
- trois cent cinquante-deux· ordinal: trois cent cinquante-deuxième
- Italian
- trecentocinquantadue· ordinal: 352º
- Latin
- trecenti quinquaginta duo· ordinal: 352.
- Portuguese
- trezentos e cinquenta e dois· ordinal: 352º
Appears in sequences
- Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n.at n=12A000031
- Number of primitive n-bead necklaces (turning over is allowed) where complements are equivalent.at n=14A000046
- Numbers k such that k^4 + 1 is prime.at n=49A000068
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=43A000118
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=26A000124
- Number of ways of placing n nonattacking queens on an n X n board.at n=9A000170
- Generalized class numbers c_(n,2).at n=2A000362
- Generalized Euler numbers c(3,n).at n=2A000436
- Expansion of e.g.f. (sin x + cos x)/cos 3x.at n=4A000810
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=40A001032
- Numbers that are the sum of 2 successive primes.at n=39A001043
- Numbers that are the sum of 4 cubes in more than 1 way.at n=18A001245
- Nearest integer to 2*n*log(n).at n=46A001618
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=21A001859
- Expansion of 1/theta_4(q)^2 in powers of q.at n=6A001934
- Number of partitions of n with exactly two part sizes.at n=50A002133
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = y.at n=53A002368
- Number of ways to attack all squares on an n X n chessboard using the smallest possible number of queens with each queen attacking at least one other.at n=7A002566
- Numbers that are the sum of 3 positive cubes.at n=46A003072
- Negated discriminants of orders of imaginary quadratic fields with 1 class per genus (a finite sequence).at n=56A003171