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1343330352 = 243371334171
BaseRepresentation
bin101000000010001…
…1001100000110000
310110121201020211000
41100010121200300
510222343032402
6341144122000
745201056010
oct12004314060
93417636730
101343330352
1162a302a81
12315a66300
131853c9640
14ca59dc40
157cdedc1c
hex50119830

1343330352 has 160 divisors (see below), whose sum is σ = 4745807360. Its totient is φ = 354274560.

The previous prime is 1343330309. The next prime is 1343330371. The reversal of 1343330352 is 2530333431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22227 + ... + 56397.

It is an arithmetic number, because the mean of its divisors is an integer number (29661296).

Almost surely, 21343330352 is an apocalyptic number.

1343330352 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 1343330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372903680).

1343330352 is an abundant number, since it is smaller than the sum of its proper divisors (3402477008).

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

1343330352 is a wasteful number, since it uses less digits than its factorization.

1343330352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34208 (or 34196 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 1343330352 is about 36651.4713483647. The cubic root of 1343330352 is about 1103.3863555741.

Adding to 1343330352 its reverse (2530333431), we get a palindrome (3873663783).

The spelling of 1343330352 in words is "one billion, three hundred forty-three million, three hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 34171 39312 68342 102513 136684 205026 239197 273368 307539 410052 444223 478394 546736 615078 717591 820104 888446 922617 956788 1230156 1332669 1435182 1640208 1776892 1845234 1913576 2152773 2460312 2665338 2870364 3109561 3553784 3690468 3827152 3998007 4305546 4920624 5330676 5740728 6219122 6458319 7107568 7380936 7996014 8611092 9328683 10661352 11481456 11994021 12438244 12916638 14761872 15992028 17222184 18657366 21322704 23988042 24876488 25833276 27986049 31984056 34444368 37314732 47976084 49752976 51666552 55972098 63968112 74629464 83958147 95952168 103333104 111944196 149258928 167916294 191904336 223888392 335832588 447776784 671665176 1343330352