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1345768435 = 511317111117
BaseRepresentation
bin101000000110110…
…1100101111110011
310110210022010020101
41100031230233303
510224004042220
6341312253231
745230562064
oct12015545763
93423263211
101345768435
11630718820
12316841217
13185a712ab
14caa3656b
157d23130a
hex5036cbf3

1345768435 has 32 divisors (see below), whose sum is σ = 1844342784. Its totient is φ = 933744000.

The previous prime is 1345768427. The next prime is 1345768441. The reversal of 1345768435 is 5348675431.

It is not a de Polignac number, because 1345768435 - 23 = 1345768427 is a prime.

It is a super-3 number, since 3×13457684353 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 115497 + ... + 126613.

It is an arithmetic number, because the mean of its divisors is an integer number (57635712).

Almost surely, 21345768435 is an apocalyptic number.

1345768435 is a deficient number, since it is larger than the sum of its proper divisors (498574349).

1345768435 is a wasteful number, since it uses less digits than its factorization.

1345768435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235.

The product of its digits is 1209600, while the sum is 46.

The square root of 1345768435 is about 36684.7166405848. The cubic root of 1345768435 is about 1104.0534840167.

The spelling of 1345768435 in words is "one billion, three hundred forty-five million, seven hundred sixty-eight thousand, four hundred thirty-five".

Divisors: 1 5 11 31 55 71 155 341 355 781 1705 2201 3905 11005 11117 24211 55585 121055 122287 344627 611435 789307 1723135 3790897 3946535 8682377 18954485 24468517 43411885 122342585 269153687 1345768435