Search a number
-
+
304129728 = 2634717229
BaseRepresentation
bin10010001000001…
…010011011000000
3210012021101120000
4102020022123000
51110324122403
650102320000
710352026410
oct2210123300
9705241500
10304129728
11146745191
1285a29000
134b015726
142c56a640
151ba777a3
hex1220a6c0

304129728 has 420 divisors, whose sum is σ = 1132240560. Its totient is φ = 78962688.

The previous prime is 304129717. The next prime is 304129733. The reversal of 304129728 is 827921403.

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

It is a junction number, because it is equal to n+sod(n) for n = 304129692 and 304129701.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10487218 + ... + 10487246.

Almost surely, 2304129728 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 304129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566120280).

304129728 is an abundant number, since it is smaller than the sum of its proper divisors (828110832).

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

304129728 is a wasteful number, since it uses less digits than its factorization.

304129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 304129728 is about 17439.3155829006. The cubic root of 304129728 is about 672.4907130091.

The spelling of 304129728 in words is "three hundred four million, one hundred twenty-nine thousand, seven hundred twenty-eight".