Search a number
-
+
313224444 = 223213669283
BaseRepresentation
bin10010101010110…
…110110011111100
3210211101110011100
4102222312303330
51120141140234
651025253100
710522235541
oct2252666374
9724343140
10313224444
11150897185
1288a94190
134cb7b210
142d856bc8
151c772399
hex12ab6cfc

313224444 has 36 divisors (see below), whose sum is σ = 852667816. Its totient is φ = 96376608.

The previous prime is 313224437. The next prime is 313224449. The reversal of 313224444 is 444422313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313224449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334174 + ... + 335109.

Almost surely, 2313224444 is an apocalyptic number.

It is an amenable number.

313224444 is an abundant number, since it is smaller than the sum of its proper divisors (539443372).

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

313224444 is a wasteful number, since it uses less digits than its factorization.

313224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669306 (or 669301 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 313224444 is about 17698.1480387073. The cubic root of 313224444 is about 679.1283844047.

Adding to 313224444 its reverse (444422313), we get a palindrome (757646757).

The spelling of 313224444 in words is "three hundred thirteen million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 669283 1338566 2007849 2677132 4015698 6023547 8031396 8700679 12047094 17401358 24094188 26102037 34802716 52204074 78306111 104408148 156612222 313224444