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1340104311 = 337134153251
BaseRepresentation
bin100111111100000…
…0101111001110111
310110101122100112000
41033320011321313
510221031314221
6340551030343
745131461440
oct11770057167
93411570460
101340104311
116284aa227
1231496b3b3
1318483a140
14c9da02c7
157c9b2e26
hex4fe05e77

1340104311 has 128 divisors (see below), whose sum is σ = 2560481280. Its totient is φ = 673920000.

The previous prime is 1340104267. The next prime is 1340104327. The reversal of 1340104311 is 1134010431.

1340104311 is a `hidden beast` number, since 1 + 340 + 10 + 4 + 311 = 666.

It is not a de Polignac number, because 1340104311 - 211 = 1340102263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340104351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5338936 + ... + 5339186.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 21340104311 is an apocalyptic number.

1340104311 is a deficient number, since it is larger than the sum of its proper divisors (1220376969).

1340104311 is a wasteful number, since it uses less digits than its factorization.

1340104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1340104311 is about 36607.4351874042. The cubic root of 1340104311 is about 1102.5023777079.

Adding to 1340104311 its reverse (1134010431), we get a palindrome (2474114742).

The spelling of 1340104311 in words is "one billion, three hundred forty million, one hundred four thousand, three hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 41 53 63 91 117 123 159 189 251 273 287 351 369 371 477 533 689 753 819 861 1107 1113 1431 1599 1757 2067 2173 2259 2457 2583 3263 3339 3731 4797 4823 5271 6201 6519 6777 7749 9789 10017 10291 11193 13303 14391 14469 15211 15813 18603 19557 22841 28249 29367 30873 33579 39909 43407 45633 47439 58671 68523 72037 84747 88101 92619 93121 100737 119727 130221 133783 136899 172939 197743 205569 216111 254241 277857 279363 359181 401349 410697 518817 545423 593229 616707 648333 762723 838089 936481 1204047 1210573 1556451 1636269 1779687 1944999 2514267 2809443 3612141 3631719 3817961 4669353 4908807 5339061 7090499 8428329 10895157 11453883 14726421 21271497 25284987 32685471 34361649 49633493 63814491 103084947 148900479 191443473 446701437 1340104311