Search a number
-
+
393184 = 25111117
BaseRepresentation
bin1011111111111100000
3201222100101
41133333200
5100040214
612232144
73225211
oct1377740
9658311
10393184
11249450
1216b654
13109c6c
14a3408
157b774
hex5ffe0

393184 has 24 divisors (see below), whose sum is σ = 845208. Its totient is φ = 178560.

The previous prime is 393181. The next prime is 393187. The reversal of 393184 is 481393.

393184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (393181) and next prime (393187).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (35217).

2393184 is an apocalyptic number.

It is an amenable number.

393184 is an abundant number, since it is smaller than the sum of its proper divisors (452024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393184 is a wasteful number, since it uses less digits than its factorization.

393184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 393184 is about 627.0438581152. The cubic root of 393184 is about 73.2597241184.

Subtracting 393184 from its reverse (481393), we obtain a square (88209 = 2972).

It can be divided in two parts, 39 and 3184, that added together give a palindrome (3223).

The spelling of 393184 in words is "three hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1117 2234 4468 8936 12287 17872 24574 35744 49148 98296 196592 393184