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384318 = 23311647
BaseRepresentation
bin1011101110100111110
3201112012000
41131310332
544244233
612123130
73160314
oct1356476
9645160
10384318
11242820
121664a6
13105c0c
14a00b4
1578d13
hex5dd3e

384318 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 116280.

The previous prime is 384317. The next prime is 384331. The reversal of 384318 is 813483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 384291 and 384300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384317) 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 15 ways as a sum of consecutive naturals, for example, 271 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2384318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560).

384318 is an abundant number, since it is smaller than the sum of its proper divisors (548802).

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

384318 is a wasteful number, since it uses less digits than its factorization.

384318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 384318 is about 619.9338674407. The cubic root of 384318 is about 72.7048822172.

It can be divided in two parts, 38 and 4318, that added together give a square (4356 = 662).

The spelling of 384318 in words is "three hundred eighty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 647 1294 1941 3882 5823 7117 11646 14234 17469 21351 34938 42702 64053 128106 192159 384318