370 has 8 divisors (see below), whose sum is σ = 684. Its totient is φ = 144.

The previous prime is 367. The next prime is 373. The reversal of 370 is 73.

It can be divided in two parts, 3 and 70, that multiplied together give a triangular number (210 = T_{20}).

It is an interprime number because it is at equal distance from previous prime (367) and next prime (373).

It can be written as a sum of positive squares in 2 ways, for example, as 361 + 9 = 19^2 + 3^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 37 = 370 / (3 + 7 + 0).

It is a magnanimous number.

It is an Ulam number.

It is a d-powerful number, because it can be written as **3**^{3} + **7**^{3} + **0** .

370 is an undulating number in base 6.

It is a plaindrome in base 12, base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 28.

It is a narcissistic number, because it is equal to **3**^{3} + **7**^{3} + **0**^{3}.

370 is the 10-th decagonal number.

370 is a deficient number, since it is larger than the sum of its proper divisors (314).

370 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (369) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (44).

370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44.

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 370 is about 19.2353840617. The cubic root of 370 is about 7.1790543521.

The spelling of 370 in words is "three hundred seventy", and thus it is an aban number, an iban number, and an oban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.041 sec. • engine limits •