Search a number
-
+
1330323012 = 223237226993
BaseRepresentation
bin100111101001011…
…0001111001000100
310102201020102002200
41033102301321010
510211030314022
6340001234500
744652362514
oct11722617104
93381212080
101330323012
11622a29407
12311632a30
131827c3ca5
14c8975844
157bbcebac
hex4f4b1e44

1330323012 has 54 divisors (see below), whose sum is σ = 3456230778. Its totient is φ = 431440128.

The previous prime is 1330322999. The next prime is 1330323017. The reversal of 1330323012 is 2103230331.

1330323012 is a `hidden beast` number, since 1 + 330 + 32 + 301 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 378847296 + 951475716 = 19464^2 + 30846^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1330323017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35788 + ... + 62780.

Almost surely, 21330323012 is an apocalyptic number.

1330323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728115389).

1330323012 is an abundant number, since it is smaller than the sum of its proper divisors (2125907766).

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

1330323012 is a wasteful number, since it uses less digits than its factorization.

1330323012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27077 (or 27035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330323012 is about 36473.5933519032. The cubic root of 1330323012 is about 1099.8134702999.

Adding to 1330323012 its reverse (2103230331), we get a palindrome (3433553343).

It can be divided in two parts, 13303 and 23012, that added together give a triangular number (36315 = T269).

The spelling of 1330323012 in words is "one billion, three hundred thirty million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 26993 49284 53986 80979 107972 161958 242937 323916 485874 971748 998741 1997482 2996223 3994964 5992446 8988669 11984892 17977338 35954676 36953417 73906834 110860251 147813668 221720502 332580753 443441004 665161506 1330323012