Search a number
-
+
1323421044 = 2231121038849
BaseRepresentation
bin100111011100001…
…1100110101110100
310102020020202101020
41032320130311310
510202243433134
6335153301140
744536615251
oct11670346564
93366222336
101323421044
1161a044900
1230b2647b0
1318124859a
14c7a9a428
157b2b9b49
hex4ee1cd74

1323421044 has 72 divisors (see below), whose sum is σ = 3427569600. Its totient is φ = 397098240.

The previous prime is 1323421037. The next prime is 1323421063. The reversal of 1323421044 is 4401243231.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145132 + ... + 153980.

Almost surely, 21323421044 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 1323421044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713784800).

1323421044 is an abundant number, since it is smaller than the sum of its proper divisors (2104148556).

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

1323421044 is a wasteful number, since it uses less digits than its factorization.

1323421044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8968 counting only the distinct ones).

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

The square root of 1323421044 is about 36378.8543524944. The cubic root of 1323421044 is about 1097.9081578517.

Adding to 1323421044 its reverse (4401243231), we get a palindrome (5724664275).

It can be divided in two parts, 132342 and 1044, that added together give a triangular number (133386 = T516).

The spelling of 1323421044 in words is "one billion, three hundred twenty-three million, four hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 309 363 412 484 618 726 1133 1236 1452 2266 3399 4532 6798 8849 12463 13596 17698 24926 26547 35396 37389 49852 53094 74778 97339 106188 149556 194678 292017 389356 584034 911447 1070729 1168068 1822894 2141458 2734341 3212187 3645788 4282916 5468682 6424374 10025917 10937364 12848748 20051834 30077751 40103668 60155502 110285087 120311004 220570174 330855261 441140348 661710522 1323421044