Search a number
-
+
1323930930 = 2357172231663
BaseRepresentation
bin100111011101001…
…1001010100110010
310102021012122210220
41032322121110302
510202411242210
6335212233510
744544140640
oct11672312462
93367178726
101323930930
1161a3629a3
1230b46b896
131813966aa
14c7b90190
157b36ac70
hex4ee99532

1323930930 has 128 divisors (see below), whose sum is σ = 3864526848. Its totient is φ = 283364352.

The previous prime is 1323930911. The next prime is 1323930973. The reversal of 1323930930 is 390393231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1323930891 and 1323930900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795279 + ... + 796941.

It is an arithmetic number, because the mean of its divisors is an integer number (30191616).

Almost surely, 21323930930 is an apocalyptic number.

1323930930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323930930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932263424).

1323930930 is an abundant number, since it is smaller than the sum of its proper divisors (2540595918).

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

1323930930 is a wasteful number, since it uses less digits than its factorization.

1323930930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920.

The product of its (nonzero) digits is 13122, while the sum is 33.

The square root of 1323930930 is about 36385.8616773054. The cubic root of 1323930930 is about 1098.0491399735.

The spelling of 1323930930 in words is "one billion, three hundred twenty-three million, nine hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 223 238 255 357 446 510 595 669 714 1115 1190 1338 1561 1663 1785 2230 3122 3326 3345 3570 3791 4683 4989 6690 7582 7805 8315 9366 9978 11373 11641 15610 16630 18955 22746 23282 23415 24945 26537 28271 34923 37910 46830 49890 53074 56542 56865 58205 69846 79611 84813 113730 116410 132685 141355 159222 169626 174615 197897 265370 282710 349230 370849 395794 398055 424065 593691 741698 796110 848130 989485 1112547 1187382 1854245 1978970 2225094 2595943 2968455 3708490 5191886 5562735 5936910 6304433 7787829 11125470 12608866 12979715 15575658 18913299 25959430 31522165 37826598 38939145 44131031 63044330 77878290 88262062 94566495 132393093 189132990 220655155 264786186 441310310 661965465 1323930930