Search a number
-
+
304828146 = 23273178041
BaseRepresentation
bin10010001010110…
…100111011110010
3210020120212121100
4102022310323302
51111014000041
650125305230
710360665540
oct2212647362
9706525540
10304828146
11147081997
1286105216
134b1cb5ac
142c6acd90
151bb646b6
hex122b4ef2

304828146 has 48 divisors (see below), whose sum is σ = 779171328. Its totient is φ = 84283200.

The previous prime is 304828141. The next prime is 304828159. The reversal of 304828146 is 641828403.

304828146 is a `hidden beast` number, since 30 + 482 + 8 + 146 = 666.

304828146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 304828146.

It is not an unprimeable number, because it can be changed into a prime (304828141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35115 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (16232736).

Almost surely, 2304828146 is an apocalyptic number.

304828146 is an abundant number, since it is smaller than the sum of its proper divisors (474343182).

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

304828146 is a wasteful number, since it uses less digits than its factorization.

304828146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78087 (or 78084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 304828146 is about 17459.3283375965. The cubic root of 304828146 is about 673.0050993625.

The spelling of 304828146 in words is "three hundred four million, eight hundred twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 78041 156082 234123 468246 546287 702369 1092574 1404738 1638861 2419271 3277722 4838542 4916583 7257813 9833166 14515626 16934897 21773439 33869794 43546878 50804691 101609382 152414073 304828146