Search a number
-
+
1321340328 = 2332711247461
BaseRepresentation
bin100111011000010…
…0000110110101000
310102002100001011200
41032300200312220
510201230342303
6335040524200
744513131110
oct11660406650
93362301150
101321340328
11618953600
1230a620660
1318099a4a9
14c76b8040
157b0083a3
hex4ec20da8

1321340328 has 288 divisors, whose sum is σ = 4601076480. Its totient is φ = 335174400.

The previous prime is 1321340323. The next prime is 1321340353. The reversal of 1321340328 is 8230431231.

It is not an unprimeable number, because it can be changed into a prime (1321340323) 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 71 ways as a sum of consecutive naturals, for example, 2866018 + ... + 2866478.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 21321340328 is an apocalyptic number.

1321340328 is a gapful number since it is divisible by the number (18) 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 1321340328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300538240).

1321340328 is an abundant number, since it is smaller than the sum of its proper divisors (3279736152).

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

1321340328 is a wasteful number, since it uses less digits than its factorization.

1321340328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1321340328 is about 36350.2452261329. The cubic root of 1321340328 is about 1097.3324697280.

Adding to 1321340328 its reverse (8230431231), we get a palindrome (9551771559).

The spelling of 1321340328 in words is "one billion, three hundred twenty-one million, three hundred forty thousand, three hundred twenty-eight".