Search a number
-
+
284190390 = 233511103929
BaseRepresentation
bin10000111100000…
…110011010110110
3201210202100221000
4100330012122312
51040223043030
644111104130
710020402261
oct2074063266
9653670830
10284190390
111364664a0
127b212046
1346b53ac3
1429a59cd8
1519e39860
hex10f066b6

284190390 has 128 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 68152320.

The previous prime is 284190371. The next prime is 284190407. The reversal of 284190390 is 93091482.

284190390 is a `hidden beast` number, since 2 + 84 + 190 + 390 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305446 + ... + 306374.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2284190390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284190390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

284190390 is an abundant number, since it is smaller than the sum of its proper divisors (551470410).

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

284190390 is a wasteful number, since it uses less digits than its factorization.

284190390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 284190390 is about 16857.9473839492. The cubic root of 284190390 is about 657.4606972897.

The spelling of 284190390 in words is "two hundred eighty-four million, one hundred ninety thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 103 110 135 165 198 206 270 297 309 330 495 515 594 618 927 929 990 1030 1133 1485 1545 1854 1858 2266 2781 2787 2970 3090 3399 4635 4645 5562 5574 5665 6798 8361 9270 9290 10197 10219 11330 13905 13935 16722 16995 20394 20438 25083 27810 27870 30591 30657 33990 41805 50166 50985 51095 61182 61314 83610 91971 95687 101970 102190 125415 152955 153285 183942 191374 250830 275913 287061 305910 306570 459855 478435 551826 574122 861183 919710 956870 1052557 1379565 1435305 1722366 2105114 2583549 2759130 2870610 3157671 4305915 5167098 5262785 6315342 8611830 9473013 10525570 12917745 15788355 18946026 25835490 28419039 31576710 47365065 56838078 94730130 142095195 284190390