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1343613645 = 3251122967127
BaseRepresentation
bin101000000010101…
…1110101011001101
310110122020122102100
41100011132223031
510222431114040
6341154145313
745203345643
oct12005365315
93418218370
101343613645
1162a486900
12315b82239
1318549857a
14ca635193
157ce57b30
hex5015eacd

1343613645 has 144 divisors (see below), whose sum is σ = 2708858880. Its totient is φ = 614718720.

The previous prime is 1343613619. The next prime is 1343613721. The reversal of 1343613645 is 5463163431.

1343613645 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 6 + 1 + 3 + 645 = 666.

It is not a de Polignac number, because 1343613645 - 212 = 1343609549 is a prime.

It is a super-3 number, since 3×13436136453 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10579572 + ... + 10579698.

It is an arithmetic number, because the mean of its divisors is an integer number (18811520).

Almost surely, 21343613645 is an apocalyptic number.

1343613645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1343613645 is an abundant number, since it is smaller than the sum of its proper divisors (1365245235).

1343613645 is a wasteful number, since it uses less digits than its factorization.

1343613645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1343613645 is about 36655.3358325906. The cubic root of 1343613645 is about 1103.4639139745.

The spelling of 1343613645 in words is "one billion, three hundred forty-three million, six hundred thirteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 67 87 99 121 127 145 165 201 261 319 335 363 381 435 495 603 605 635 737 957 1005 1089 1143 1305 1397 1595 1815 1905 1943 2211 2871 3015 3509 3683 3685 4191 4785 5445 5715 5829 6633 6985 8107 8509 9715 10527 11049 11055 12573 14355 15367 17487 17545 18415 20955 21373 24321 25527 29145 31581 33147 33165 40513 40535 42545 46101 52635 55245 62865 64119 72963 76581 76835 87435 93599 106865 121539 121605 127635 138303 157905 165735 192357 202565 230505 235103 246761 280797 320595 364617 364815 382905 445643 467995 607695 691515 705309 740283 842391 961785 1029589 1175515 1233805 1336929 1403985 1823085 2115927 2220849 2228215 2714371 3088767 3526545 3701415 4010787 4211955 5147945 6684645 8143113 9266301 10579635 11104245 13571855 15443835 20053935 24429339 29858081 40715565 46331505 89574243 122146695 149290405 268722729 447871215 1343613645