Search a number
-
+
1304310220 = 2252322712491
BaseRepresentation
bin100110110111110…
…0011000111001100
310100220021211020221
41031233203013030
510132400411340
6333231521124
744215311463
oct11557430714
93326254227
101304310220
1160a281634
123049891a4
1317a2b6ac5
14c53239da
157979244a
hex4dbe31cc

1304310220 has 48 divisors (see below), whose sum is σ = 2870961408. Its totient is φ = 496802240.

The previous prime is 1304310211. The next prime is 1304310221. The reversal of 1304310220 is 220134031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1304310194 and 1304310203.

It is not an unprimeable number, because it can be changed into a prime (1304310221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98175 + ... + 110665.

It is an arithmetic number, because the mean of its divisors is an integer number (59811696).

Almost surely, 21304310220 is an apocalyptic number.

1304310220 is a gapful number since it is divisible by the number (10) 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 1304310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435480704).

1304310220 is an abundant number, since it is smaller than the sum of its proper divisors (1566651188).

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

1304310220 is a wasteful number, since it uses less digits than its factorization.

1304310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1304310220 is about 36115.2352892792. The cubic root of 1304310220 is about 1092.5977430715.

Adding to 1304310220 its reverse (220134031), we get a palindrome (1524444251).

The spelling of 1304310220 in words is "one billion, three hundred four million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 227 230 454 460 908 1135 2270 4540 5221 10442 12491 20884 24982 26105 49964 52210 62455 104420 124910 249820 287293 574586 1149172 1436465 2835457 2872930 5670914 5745860 11341828 14177285 28354570 56709140 65215511 130431022 260862044 326077555 652155110 1304310220