Search a number
-
+
284316380 = 22519253743
BaseRepresentation
bin10000111100100…
…101001011011100
3201210222202202022
4100330211023130
51040241111010
644113515312
710021435505
oct2074451334
9653882668
10284316380
11136542117
127b272b38
1346b9925a
1429a8dbac
1519e61d55
hex10f252dc

284316380 has 72 divisors (see below), whose sum is σ = 642896352. Its totient is φ = 105565824.

The previous prime is 284316353. The next prime is 284316391. The reversal of 284316380 is 83613482.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 284316380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382289 + ... + 383031.

It is an arithmetic number, because the mean of its divisors is an integer number (8929116).

Almost surely, 2284316380 is an apocalyptic number.

284316380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284316380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321448176).

284316380 is an abundant number, since it is smaller than the sum of its proper divisors (358579972).

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

284316380 is a wasteful number, since it uses less digits than its factorization.

284316380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 284316380 is about 16861.6837830627. The cubic root of 284316380 is about 657.5578401892.

The spelling of 284316380 in words is "two hundred eighty-four million, three hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 361 380 530 722 743 1007 1060 1444 1486 1805 2014 2972 3610 3715 4028 5035 7220 7430 10070 14117 14860 19133 20140 28234 38266 39379 56468 70585 76532 78758 95665 141170 157516 191330 196895 268223 282340 382660 393790 536446 748201 787580 1072892 1341115 1496402 2682230 2992804 3741005 5364460 7482010 14215819 14964020 28431638 56863276 71079095 142158190 284316380