Search a number
-
+
304062642 = 23213412773
BaseRepresentation
bin10010000111111…
…010000010110010
3210012010222112100
4102013322002302
51110320001032
650101041230
710351330002
oct2207720262
9705128470
10304062642
111466a9844
12859b6216
134acc1030
142c550002
151ba6297c
hex121fa0b2

304062642 has 72 divisors (see below), whose sum is σ = 728146692. Its totient is φ = 91157760.

The previous prime is 304062587. The next prime is 304062653. The reversal of 304062642 is 246260403.

304062642 is a `hidden beast` number, since 30 + 4 + 0 + 626 + 4 + 2 = 666.

304062642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17065161 + 286997481 = 4131^2 + 16941^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392968 + ... + 393740.

Almost surely, 2304062642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304062642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364073346).

304062642 is an abundant number, since it is smaller than the sum of its proper divisors (424084050).

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

304062642 is a wasteful number, since it uses less digits than its factorization.

304062642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 304062642 is about 17437.3920641821. The cubic root of 304062642 is about 672.4412625878.

It can be divided in two parts, 304062 and 642, that added together give a square (304704 = 5522).

The spelling of 304062642 in words is "three hundred four million, sixty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 773 1066 1546 1599 1681 2319 3198 3362 4638 4797 5043 6957 9594 10049 10086 13914 15129 20098 21853 30147 30258 31693 43706 60294 63386 65559 90441 95079 131118 180882 190158 196677 285237 393354 412009 570474 824018 1236027 1299413 2472054 2598826 3708081 3898239 7416162 7796478 11694717 16892369 23389434 33784738 50677107 101354214 152031321 304062642