Search a number
-
+
304122 = 23713557
BaseRepresentation
bin1001010001111111010
3120110011210
41022033322
534212442
610303550
72404440
oct1121772
9513153
10304122
11198545
12127bb6
13a8570
147cb90
156019c
hex4a3fa

304122 has 32 divisors (see below), whose sum is σ = 749952. Its totient is φ = 80064.

The previous prime is 304099. The next prime is 304127. The reversal of 304122 is 221403.

It is a junction number, because it is equal to n+sod(n) for n = 304098 and 304107.

It is not an unprimeable number, because it can be changed into a prime (304127) by changing a digit.

304122 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 268 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2304122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

304122 is an abundant number, since it is smaller than the sum of its proper divisors (445830).

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

304122 is a wasteful number, since it uses less digits than its factorization.

304122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 304122 is about 551.4725741141. The cubic root of 304122 is about 67.2485016918.

Adding to 304122 its reverse (221403), we get a palindrome (525525).

The spelling of 304122 in words is "three hundred four thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 557 1114 1671 3342 3899 7241 7798 11697 14482 21723 23394 43446 50687 101374 152061 304122