Search a number
-
+
304210242 = 236741727
BaseRepresentation
bin10010001000011…
…110000101000010
3210012102111000000
4102020132011002
51110334211432
650104140430
710352513220
oct2210360502
9705374000
10304210242
1114679a726
1285a67716
134b04327b
142c58bb10
151ba9157c
hex1221e142

304210242 has 112 divisors (see below), whose sum is σ = 802069632. Its totient is φ = 84680640.

The previous prime is 304210219. The next prime is 304210271. The reversal of 304210242 is 242012403.

304210242 is a `hidden beast` number, since 3 + 0 + 421 + 0 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418083 + ... + 418809.

It is an arithmetic number, because the mean of its divisors is an integer number (7161336).

Almost surely, 2304210242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304210242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401034816).

304210242 is an abundant number, since it is smaller than the sum of its proper divisors (497859390).

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

304210242 is an equidigital number, since it uses as much as digits as its factorization.

304210242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304210242 is about 17441.6238349530. The cubic root of 304210242 is about 672.5500518756.

Adding to 304210242 its reverse (242012403), we get a palindrome (546222645).

The spelling of 304210242 in words is "three hundred four million, two hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 243 246 287 369 378 486 567 574 727 729 738 861 1107 1134 1454 1458 1701 1722 2181 2214 2583 3321 3402 4362 5089 5103 5166 6543 6642 7749 9963 10178 10206 13086 15267 15498 19629 19926 23247 29807 29889 30534 39258 45801 46494 58887 59614 59778 69741 89421 91602 117774 137403 139482 176661 178842 208649 209223 268263 274806 353322 412209 417298 418446 529983 536526 625947 804789 824418 1059966 1236627 1251894 1609578 1877841 2414367 2473254 3709881 3755682 4828734 5633523 7243101 7419762 11267046 14486202 16900569 21729303 33801138 43458606 50701707 101403414 152105121 304210242