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387073 = 1722769
BaseRepresentation
bin1011110100000000001
3201122222001
41132200001
544341243
612144001
73201331
oct1364001
9648861
10387073
112448a5
12168001
1310724b
14a10c1
1579a4d
hex5e801

387073 has 4 divisors (see below), whose sum is σ = 409860. Its totient is φ = 364288.

The previous prime is 387071. The next prime is 387077. The reversal of 387073 is 370783.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 263169 = 352^2 + 513^2 .

It is a cyclic number.

It is not a de Polignac number, because 387073 - 21 = 387071 is a prime.

It is a Duffinian number.

387073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (387071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11368 + ... + 11401.

It is an arithmetic number, because the mean of its divisors is an integer number (102465).

It is a Proth number, since it is equal to 189 ⋅ 211 + 1 and 189 < 211.

2387073 is an apocalyptic number.

It is an amenable number.

387073 is a deficient number, since it is larger than the sum of its proper divisors (22787).

387073 is a wasteful number, since it uses less digits than its factorization.

387073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 387073 is about 622.1519107099. The cubic root of 387073 is about 72.8781980852.

Subtracting from 387073 its reverse (370783), we obtain a triangular number (16290 = T180).

The spelling of 387073 in words is "three hundred eighty-seven thousand, seventy-three".

Divisors: 1 17 22769 387073