Search a number
-
+
1304320512 = 293111719239
BaseRepresentation
bin100110110111110…
…0101101000000000
310100220022100101010
41031233211220000
510132401224022
6333232040520
744215353465
oct11557455000
93326270333
101304320512
1160a289340
12304993140
1317a2bb6b1
14c532766c
157979550c
hex4dbe5a00

1304320512 has 320 divisors, whose sum is σ = 4242585600. Its totient is φ = 350945280.

The previous prime is 1304320499. The next prime is 1304320517. The reversal of 1304320512 is 2150234031.

It is not an unprimeable number, because it can be changed into a prime (1304320517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5457289 + ... + 5457527.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 21304320512 is an apocalyptic number.

1304320512 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 1304320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1304320512 is an abundant number, since it is smaller than the sum of its proper divisors (2938265088).

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

1304320512 is a wasteful number, since it uses less digits than its factorization.

1304320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1304320512 is about 36115.3777773402. The cubic root of 1304320512 is about 1092.6006168731.

Adding to 1304320512 its reverse (2150234031), we get a palindrome (3454554543).

The spelling of 1304320512 in words is "one billion, three hundred four million, three hundred twenty thousand, five hundred twelve".