Search a number
-
+
3017106468324 = 22341345712
BaseRepresentation
bin101011111001111001100…
…011110010110111100100
3101200102200100002220110000
4223321321203302313210
5343413013223441244
610230012314301300
7430656465560424
oct53717143626744
911612610086400
103017106468324
11a63602a44603
1240889aa27830
1318b6868c0000
14a6058bac484
155373644c169
hex2be798f2de4

3017106468324 has 225 divisors, whose sum is σ = 8559555709551. Its totient is φ = 926714636640.

The previous prime is 3017106468307. The next prime is 3017106468329. The reversal of 3017106468324 is 4238646017103.

The square root of 3017106468324 is 1736982.

It is a perfect power (a square), and thus also a powerful number.

3017106468324 is a `hidden beast` number, since 301 + 7 + 10 + 6 + 4 + 6 + 8 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1495929578724 + 1521176889600 = 1223082^2 + 1233360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3017106468324.

It is not an unprimeable number, because it can be changed into a prime (3017106468329) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5283898959 + ... + 5283899529.

Almost surely, 23017106468324 is an apocalyptic number.

3017106468324 is the 1736982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3017106468324

3017106468324 is an abundant number, since it is smaller than the sum of its proper divisors (5542449241227).

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

3017106468324 is an frugal number, since it uses more digits than its factorization.

3017106468324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3017106468324 in words is "three trillion, seventeen billion, one hundred six million, four hundred sixty-eight thousand, three hundred twenty-four".