Search a number
-
+
304006122 = 23779929
BaseRepresentation
bin10010000111101…
…100001111101010
3210012001010000000
4102013230033222
51110311143442
650055523430
710351003140
oct2207541752
9705033000
10304006122
11146670332
1285989576
134aca13a4
142c537590
151ba50d4c
hex121ec3ea

304006122 has 64 divisors (see below), whose sum is σ = 781689600. Its totient is φ = 86850144.

The previous prime is 304006117. The next prime is 304006139. The reversal of 304006122 is 221600403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304006095 and 304006104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25654 + ... + 35582.

It is an arithmetic number, because the mean of its divisors is an integer number (12213900).

Almost surely, 2304006122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304006122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390844800).

304006122 is an abundant number, since it is smaller than the sum of its proper divisors (477683478).

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

304006122 is an frugal number, since it uses more digits than its factorization.

304006122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304006122 is about 17435.7713336692. The cubic root of 304006122 is about 672.3995949289.

Adding to 304006122 its reverse (221600403), we get a palindrome (525606525).

The spelling of 304006122 in words is "three hundred four million, six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 9929 10206 15309 19858 29787 30618 59574 69503 89361 139006 178722 208509 268083 417018 536166 625527 804249 1251054 1608498 1876581 2412747 3753162 4825494 5629743 7238241 11259486 14476482 16889229 21714723 33778458 43429446 50667687 101335374 152003061 304006122