Search a number
-
+
323010132 = 223174759571
BaseRepresentation
bin10011010000001…
…011111001010100
3211111210121121020
4103100023321110
51130142311012
652015121140
711001353334
oct2320137124
9744717536
10323010132
11156370325
12902131b0
1351bc6373
1430c830c4
151d556a8c
hex1340be54

323010132 has 96 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 97328640.

The previous prime is 323010113. The next prime is 323010133. The reversal of 323010132 is 231010323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323010133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565407 + ... + 565977.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2323010132 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 323010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

323010132 is an abundant number, since it is smaller than the sum of its proper divisors (507259308).

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

323010132 is a wasteful number, since it uses less digits than its factorization.

323010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 323010132 is about 17972.4826331812. The cubic root of 323010132 is about 686.1283776887.

Adding to 323010132 its reverse (231010323), we get a palindrome (554020455).

The spelling of 323010132 in words is "three hundred twenty-three million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 59 68 94 102 118 141 177 188 204 236 282 354 564 571 708 799 1003 1142 1598 1713 2006 2284 2397 2773 3009 3196 3426 4012 4794 5546 6018 6852 8319 9588 9707 11092 12036 16638 19414 26837 29121 33276 33689 38828 47141 53674 58242 67378 80511 94282 101067 107348 116484 134756 141423 161022 188564 202134 282846 322044 404268 456229 565692 572713 912458 1145426 1368687 1583383 1718139 1824916 2290852 2737374 3166766 3436278 4750149 5474748 6333532 6872556 9500298 19000596 26917511 53835022 80752533 107670044 161505066 323010132