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1344065814 = 2327131922273
BaseRepresentation
bin101000000011100…
…1101000100010110
310110200002121200100
41100013031010112
510223040101224
6341211554530
745210241140
oct12007150426
93420077610
101344065814
1162a7655a3
1231615ba46
131855c6320
14ca711c90
157cee6ac9
hex501cd116

1344065814 has 144 divisors (see below), whose sum is σ = 3784408992. Its totient is φ = 335674368.

The previous prime is 1344065803. The next prime is 1344065819. The reversal of 1344065814 is 4185604431.

1344065814 is a `hidden beast` number, since 1 + 34 + 40 + 6 + 581 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344065819) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590182 + ... + 592454.

It is an arithmetic number, because the mean of its divisors is an integer number (26280618).

Almost surely, 21344065814 is an apocalyptic number.

1344065814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344065814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892204496).

1344065814 is an abundant number, since it is smaller than the sum of its proper divisors (2440343178).

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

1344065814 is a wasteful number, since it uses less digits than its factorization.

1344065814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1344065814 is about 36661.5031606725. The cubic root of 1344065814 is about 1103.5876837342.

The spelling of 1344065814 in words is "one billion, three hundred forty-four million, sixty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 361 399 494 546 722 741 798 819 1083 1197 1482 1638 1729 2166 2223 2273 2394 2527 3249 3458 4446 4546 4693 5054 5187 6498 6819 7581 9386 10374 13638 14079 15162 15561 15911 20457 22743 28158 29549 31122 31822 32851 40914 42237 43187 45486 47733 59098 65702 84474 86374 88647 95466 98553 129561 143199 177294 197106 206843 259122 265941 286398 295659 302309 388683 413686 531882 561431 591318 604618 620529 777366 820553 906927 1122862 1241058 1641106 1684293 1813854 1861587 2461659 2720781 3368586 3723174 3930017 4923318 5052879 5441562 5743871 7384977 7860034 10105758 10667189 11487742 11790051 14769954 17231613 21334378 23580102 32001567 34463226 35370153 51694839 64003134 70740306 74670323 96004701 103389678 149340646 192009402 224010969 448021938 672032907 1344065814