Search a number
-
+
304122100 = 22522325749
BaseRepresentation
bin10010001000001…
…000100011110100
3210012021000002111
4102020020203310
51110323401400
650102220404
710351665232
oct2210104364
9705230074
10304122100
1114673a487
1285a24704
134b012109
142c567952
151ba753ba
hex122088f4

304122100 has 54 divisors (see below), whose sum is σ = 690005750. Its totient is φ = 116339520.

The previous prime is 304122083. The next prime is 304122103. The reversal of 304122100 is 1221403.

It can be written as a sum of positive squares in 3 ways, for example, as 1779556 + 302342544 = 1334^2 + 17388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304122103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50026 + ... + 55774.

Almost surely, 2304122100 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 304122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345002875).

304122100 is an abundant number, since it is smaller than the sum of its proper divisors (385883650).

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

304122100 is a wasteful number, since it uses less digits than its factorization.

304122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 304122100 is about 17439.0968802860. The cubic root of 304122100 is about 672.4850906255.

Adding to 304122100 its reverse (1221403), we get a palindrome (305343503).

The spelling of 304122100 in words is "three hundred four million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 5290 5749 10580 11498 13225 22996 26450 28745 52900 57490 114980 132227 143725 264454 287450 528908 574900 661135 1322270 2644540 3041221 3305675 6082442 6611350 12164884 13222700 15206105 30412210 60824420 76030525 152061050 304122100