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384305 = 5101761
BaseRepresentation
bin1011101110100110001
3201112011112
41131310301
544244210
612123105
73160265
oct1356461
9645145
10384305
11242809
12166495
13105bcc
14a00a5
1578d05
hex5dd31

384305 has 8 divisors (see below), whose sum is σ = 466344. Its totient is φ = 304000.

The previous prime is 384301. The next prime is 384317. The reversal of 384305 is 503483.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 361201 = 152^2 + 601^2 .

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

It is not a de Polignac number, because 384305 - 22 = 384301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (58293).

2384305 is an apocalyptic number.

It is an amenable number.

384305 is a deficient number, since it is larger than the sum of its proper divisors (82039).

384305 is a wasteful number, since it uses less digits than its factorization.

384305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 384305 is about 619.9233823627. The cubic root of 384305 is about 72.7040624324.

Adding to 384305 its reverse (503483), we get a palindrome (887788).

The spelling of 384305 in words is "three hundred eighty-four thousand, three hundred five".

Divisors: 1 5 101 505 761 3805 76861 384305