Search a number
-
+
1323695952 = 243319296783
BaseRepresentation
bin100111011100101…
…1111111101010000
310102020202201111000
41032321133331100
510202331232302
6335203222000
744542141605
oct11671377520
93366681430
101323695952
1161a2123a7
1230b377900
13181313757
14c7b2c6ac
157b32131c
hex4ee5ff50

1323695952 has 320 divisors, whose sum is σ = 4249728000. Its totient is φ = 392781312.

The previous prime is 1323695929. The next prime is 1323696071. The reversal of 1323695952 is 2595963231.

It is a junction number, because it is equal to n+sod(n) for n = 1323695898 and 1323695907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15948103 + ... + 15948185.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 21323695952 is an apocalyptic number.

1323695952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864000).

1323695952 is an abundant number, since it is smaller than the sum of its proper divisors (2926032048).

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

1323695952 is a wasteful number, since it uses less digits than its factorization.

1323695952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 1323695952 is about 36382.6325600554. The cubic root of 1323695952 is about 1097.9841736797.

The spelling of 1323695952 in words is "one billion, three hundred twenty-three million, six hundred ninety-five thousand, nine hundred fifty-two".