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323223012 = 223272971889
BaseRepresentation
bin10011010000111…
…111110111100100
3211112012102121200
4103100333313210
51130221114022
652023442500
711003231100
oct2320776744
9745172550
10323223012
111564a6262
12902b6430
1351c6c228
1430cda900
151d599bac
hex1343fde4

323223012 has 108 divisors (see below), whose sum is σ = 960736140. Its totient is φ = 91348992.

The previous prime is 323223007. The next prime is 323223013. The reversal of 323223012 is 210322323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 172817316 = 12264^2 + 13146^2 .

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 (323223013) 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 35 ways as a sum of consecutive naturals, for example, 170164 + ... + 172052.

It is an arithmetic number, because the mean of its divisors is an integer number (8895705).

Almost surely, 2323223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480368070).

323223012 is an abundant number, since it is smaller than the sum of its proper divisors (637513128).

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

323223012 is a wasteful number, since it uses less digits than its factorization.

323223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 323223012 is about 17978.4040448534. The cubic root of 323223012 is about 686.2790756789.

Adding to 323223012 its reverse (210322323), we get a palindrome (533545335).

It can be divided in two parts, 3232 and 23012, that added together give a square (26244 = 1622).

The spelling of 323223012 in words is "three hundred twenty-three million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 1889 2037 2716 3492 3778 4074 4753 5667 6111 7556 8148 9506 11334 12222 13223 14259 17001 19012 22668 24444 26446 28518 34002 39669 42777 52892 57036 68004 79338 85554 92561 119007 158676 171108 183233 185122 238014 277683 366466 370244 476028 549699 555366 732932 833049 1099398 1110732 1282631 1649097 1666098 2198796 2565262 3298194 3332196 3847893 5130524 6596388 7695786 8978417 11543679 15391572 17956834 23087358 26935251 35913668 46174716 53870502 80805753 107741004 161611506 323223012