Search a number
-
+
304270668 = 223413294753
BaseRepresentation
bin10010001000101…
…100110101001100
3210012112112220000
4102020230311030
51110343130133
650105324300
710353154332
oct2210546514
9705475800
10304270668
11146831069
1285a96690
134b064920
142c5a5b52
151baa4413
hex1222cd4c

304270668 has 240 divisors, whose sum is σ = 922078080. Its totient is φ = 86800896.

The previous prime is 304270649. The next prime is 304270669. The reversal of 304270668 is 866072403.

304270668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (304270669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5740930 + ... + 5740982.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2304270668 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 304270668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

304270668 is an abundant number, since it is smaller than the sum of its proper divisors (617807412).

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

304270668 is a wasteful number, since it uses less digits than its factorization.

304270668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 304270668 is about 17443.3559844429. The cubic root of 304270668 is about 672.5945789968.

The spelling of 304270668 in words is "three hundred four million, two hundred seventy thousand, six hundred sixty-eight".