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343124144064 = 2634135091467
BaseRepresentation
bin1001111111000111100…
…10101110111111000000
31012210122220121112020000
410333203302232333000
521110204240102224
6421343513120000
733534636050022
oct4774362567700
91183586545200
10343124144064
111225776a7a89
12565bb6b9000
1326483210910
14128705d0012
158dd35ad0c9
hex4fe3caefc0

343124144064 has 140 divisors (see below), whose sum is σ = 1095368242584. Its totient is φ = 105576638976.

The previous prime is 343124144039. The next prime is 343124144113. The reversal of 343124144064 is 460441421343.

343124144064 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 241 + 4 + 406 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2478342 + ... + 2613125.

Almost surely, 2343124144064 is an apocalyptic number.

It is an amenable number.

343124144064 is an abundant number, since it is smaller than the sum of its proper divisors (752244098520).

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

343124144064 is a wasteful number, since it uses less digits than its factorization.

343124144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091504 (or 5091485 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 343124144064 in words is "three hundred forty-three billion, one hundred twenty-four million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 5091467 10182934 15274401 20365868 30548802 40731736 45823203 61097604 66189071 81463472 91646406 122195208 132378142 137469609 162926944 183292812 198567213 244390416 264756284 274939218 325853888 366585624 397134426 412408827 488780832 529512568 549878436 595701639 733171248 794268852 824817654 977561664 1059025136 1099756872 1191403278 1466342496 1588537704 1649635308 1787104917 2118050272 2199513744 2382806556 2932684992 3177075408 3299270616 3574209834 4236100544 4399027488 4765613112 5361314751 6354150816 6598541232 7148419668 8798054976 9531226224 10722629502 12708301632 13197082464 14296839336 19062452448 21445259004 26394164928 28593678672 38124904896 42890518008 57187357344 85781036016 114374714688 171562072032 343124144064