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1305450536 = 2313172333169
BaseRepresentation
bin100110111001111…
…1001100000101000
310100222102202110212
41031303321200220
510133143404121
6333312200252
744231101145
oct11563714050
93328382425
101305450536
1160a990345
12305239088
1317a5c5b50
14c553d3cc
157991a25b
hex4dcf9828

1305450536 has 64 divisors (see below), whose sum is σ = 2803928400. Its totient is φ = 564461568.

The previous prime is 1305450493. The next prime is 1305450551. The reversal of 1305450536 is 6350545031.

It can be written as a sum of positive squares in 8 ways, for example, as 615337636 + 690112900 = 24806^2 + 26270^2 .

It is a super-2 number, since 2×13054505362 = 3408402203885374592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410360 + ... + 413528.

Almost surely, 21305450536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305450536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401964200).

1305450536 is an abundant number, since it is smaller than the sum of its proper divisors (1498477864).

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

1305450536 is a wasteful number, since it uses less digits than its factorization.

1305450536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 1305450536 is about 36131.0190279765. The cubic root of 1305450536 is about 1092.9160578814.

Adding to 1305450536 its reverse (6350545031), we get a palindrome (7655995567).

The spelling of 1305450536 in words is "one billion, three hundred five million, four hundred fifty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 233 442 466 884 932 1768 1864 3029 3169 3961 6058 6338 7922 12116 12676 15844 24232 25352 31688 41197 51493 53873 82394 102986 107746 164788 205972 215492 329576 411944 430984 700349 738377 1400698 1476754 2801396 2953508 5602792 5907016 9598901 12552409 19197802 25104818 38395604 50209636 76791208 100419272 163181317 326362634 652725268 1305450536