370
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 684
- Proper Divisor Sum (Aliquot Sum)
- 314
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 144
- Möbius Function
- -1
- Radical
- 370
- Omega Function (Ω)
- 3
- 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
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- yes
- Collatz Steps
- 45
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- dreihundertsiebzig· ordinal: dreihundertsiebzigste
- English
- three hundred seventy· ordinal: three hundred seventieth
- Spanish
- trescientos setenta· ordinal: 370º
- French
- trois cent soixante-dix· ordinal: trois cent soixante-dixième
- Italian
- trecentosettanta· ordinal: 370º
- Latin
- trecenti septuaginta· ordinal: 370.
- Portuguese
- trezentos e setenta· ordinal: 370º
Appears in sequences
- Number of partitions into non-integral powers.at n=11A000327
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=28A001101
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=10A001107
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=45A001463
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=50A002154
- Numbers k such that 25*4^k + 1 is prime.at n=16A002263
- Numbers k such that 39*2^k + 1 is prime.at n=19A002269
- Numbers k such that (k^2 + k + 1)/3 is prime.at n=45A002640
- Numbers that are the sum of 2 positive cubes.at n=22A003325
- Numbers that are the sum of 5 positive 4th powers.at n=24A003339
- Numbers that are the sum of 10 positive 4th powers.at n=41A003344
- Sums of distinct positive cubes.at n=53A003997
- a(n) = floor(100*log_2(n)).at n=12A004262
- a(n) = round(100*log_2(n)).at n=12A004263
- Sums of two nonnegative cubes.at n=30A004999
- Sum of squares of primes dividing n.at n=56A005063
- Sum of cubes of primes dividing n.at n=20A005064
- Sum of squares of odd primes dividing n.at n=56A005066
- Sum of cubes of odd primes dividing n.at n=41A005067
- Sum of cubes of odd primes dividing n.at n=20A005067