Search a number
-
+
304010000 = 2454743101
BaseRepresentation
bin10010000111101…
…101001100010000
3210012001022022122
4102013231030100
51110311310000
650055553412
710351020350
oct2207551420
9705038278
10304010000
11146673238
128598b868
134aca3098
142c538b60
151ba52085
hex121ed310

304010000 has 200 divisors, whose sum is σ = 869271744. Its totient is φ = 100800000.

The previous prime is 304009969. The next prime is 304010009. The reversal of 304010000 is 10403.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 304010000.

It is not an unprimeable number, because it can be changed into a prime (304010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3009950 + ... + 3010050.

Almost surely, 2304010000 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 304010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434635872).

304010000 is an abundant number, since it is smaller than the sum of its proper divisors (565261744).

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

304010000 is a wasteful number, since it uses less digits than its factorization.

304010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 304010000 is about 17435.8825414718. The cubic root of 304010000 is about 672.4024540320.

Adding to 304010000 its reverse (10403), we get a palindrome (304020403).

The spelling of 304010000 in words is "three hundred four million, ten thousand".