Search a number
-
+
304213122 = 232121313933
BaseRepresentation
bin10010001000011…
…110110010000010
3210012102121221200
4102020132302002
51110334304442
650104202030
710352524503
oct2210366202
9705377850
10304213122
111467a1904
1285a69316
134b044685
142c58cbaa
151ba9234c
hex1221ec82

304213122 has 24 divisors (see below), whose sum is σ = 659719164. Its totient is φ = 101313504.

The previous prime is 304213099. The next prime is 304213139. The reversal of 304213122 is 221312403.

It can be written as a sum of positive squares in 2 ways, for example, as 302446881 + 1766241 = 17391^2 + 1329^2 .

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 = 304213095 and 304213104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14868 + ... + 28800.

Almost surely, 2304213122 is an apocalyptic number.

304213122 is an abundant number, since it is smaller than the sum of its proper divisors (355506042).

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

304213122 is a wasteful number, since it uses less digits than its factorization.

304213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15154 (or 15151 counting only the distinct ones).

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

The square root of 304213122 is about 17441.7063958777. The cubic root of 304213122 is about 672.5521742433.

Adding to 304213122 its reverse (221312403), we get a palindrome (525525525).

It can be divided in two parts, 3042 and 13122, that multiplied together give a square (39917124 = 63182).

The spelling of 304213122 in words is "three hundred four million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1213 2426 3639 7278 10917 13933 21834 27866 41799 83598 125397 250794 16900729 33801458 50702187 101404374 152106561 304213122