Search a number
-
+
384384 = 27371113
BaseRepresentation
bin1011101110110000000
3201112021110
41131312000
544300014
612123320
73160440
oct1356600
9645243
10384384
11242880
12166540
13105c60
14a0120
1578d59
hex5dd80

384384 has 128 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 92160.

The previous prime is 384383. The next prime is 384403. The reversal of 384384 is 483483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29562 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2384384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

384384 is an abundant number, since it is smaller than the sum of its proper divisors (986496).

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

384384 is a wasteful number, since it uses less digits than its factorization.

384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 384384 is about 619.9870966399. The cubic root of 384384 is about 72.7090439162.

Subtracting 384384 from its reverse (483483), we obtain a palindrome (99099).

The spelling of 384384 in words is "three hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 128 132 143 154 156 168 176 182 192 208 224 231 264 273 286 308 312 336 352 364 384 416 429 448 462 528 546 572 616 624 672 704 728 832 858 896 924 1001 1056 1092 1144 1232 1248 1344 1408 1456 1664 1716 1848 2002 2112 2184 2288 2464 2496 2688 2912 3003 3432 3696 4004 4224 4368 4576 4928 4992 5824 6006 6864 7392 8008 8736 9152 9856 11648 12012 13728 14784 16016 17472 18304 24024 27456 29568 32032 34944 48048 54912 64064 96096 128128 192192 384384