Search a number
-
+
1323421242 = 23111323199337
BaseRepresentation
bin100111011100001…
…1100111000111010
310102020020202122120
41032320130320322
510202243434432
6335153302110
744536615653
oct11670347072
93366222576
101323421242
1161a044a70
1230b264936
131812486c0
14c7a9a52a
157b2b9c2c
hex4ee1ce3a

1323421242 has 128 divisors (see below), whose sum is σ = 3270758400. Its totient is φ = 351267840.

The previous prime is 1323421241. The next prime is 1323421249. The reversal of 1323421242 is 2421243231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1323421241) 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 63 ways as a sum of consecutive naturals, for example, 3926898 + ... + 3927234.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 21323421242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323421242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635379200).

1323421242 is an abundant number, since it is smaller than the sum of its proper divisors (1947337158).

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

1323421242 is a wasteful number, since it uses less digits than its factorization.

1323421242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its digits is 2304, while the sum is 24.

The square root of 1323421242 is about 36378.8570738554. The cubic root of 1323421242 is about 1097.9082126052.

Adding to 1323421242 its reverse (2421243231), we get a palindrome (3744664473).

The spelling of 1323421242 in words is "one billion, three hundred twenty-three million, four hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 199 253 286 299 337 398 429 506 597 598 674 759 858 897 1011 1194 1518 1794 2022 2189 2587 3289 3707 4378 4381 4577 5174 6567 6578 7414 7751 7761 8762 9154 9867 11121 13134 13143 13731 15502 15522 19734 22242 23253 26286 27462 28457 46506 48191 50347 56914 59501 67063 85261 85371 96382 100694 100763 119002 134126 144573 151041 170522 170742 178503 201189 201526 255783 289146 302082 302289 357006 402378 511566 604578 654511 737693 871819 1108393 1309022 1475386 1542449 1743638 1963533 2213079 2216786 2615457 3084898 3325179 3927066 4426158 4627347 5230914 6650358 9254694 9590009 16966939 19180018 20051837 28770027 33933878 40103674 50900817 57540054 60155511 101801634 120311022 220570207 441140414 661710621 1323421242