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343244042112 = 2734331166841
BaseRepresentation
bin1001111111010101111…
…00000110111110000000
31012210222021012222102110
410333222330012332000
521110430433321422
6421403435015320
733540623135016
oct4775274067600
91183867188373
10343244042112
1112262934a184
125663389a540
13264a20002ca
14128824c08b6
158dddd9360c
hex4feaf06f80

343244042112 has 128 divisors (see below), whose sum is σ = 935959115520. Its totient is φ = 111392870400.

The previous prime is 343244042077. The next prime is 343244042129. The reversal of 343244042112 is 211240442343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 343244042112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5101812 + ... + 5168652.

It is an arithmetic number, because the mean of its divisors is an integer number (7312180590).

Almost surely, 2343244042112 is an apocalyptic number.

343244042112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343244042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467979557760).

343244042112 is an abundant number, since it is smaller than the sum of its proper divisors (592715073408).

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

343244042112 is a wasteful number, since it uses less digits than its factorization.

343244042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67212 (or 67200 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 343244042112 its reverse (211240442343), we get a palindrome (554484484455).

The spelling of 343244042112 in words is "three hundred forty-three billion, two hundred forty-four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 311 344 384 516 622 688 933 1032 1244 1376 1866 2064 2488 2752 3732 4128 4976 5504 7464 8256 9952 13373 14928 16512 19904 26746 29856 39808 40119 53492 59712 66841 80238 106984 119424 133682 160476 200523 213968 267364 320952 401046 427936 534728 641904 802092 855872 1069456 1283808 1604184 1711744 2138912 2567616 2874163 3208368 4277824 5135232 5748326 6416736 8555648 8622489 11496652 12833472 17244978 20787551 22993304 25666944 34489956 41575102 45986608 62362653 68979912 83150204 91973216 124725306 137959824 166300408 183946432 249450612 275919648 332600816 367892864 498901224 551839296 665201632 893864693 997802448 1103678592 1330403264 1787729386 1995604896 2660806528 2681594079 3575458772 3991209792 5363188158 7150917544 7982419584 10726376316 14301835088 21452752632 28603670176 42905505264 57207340352 85811010528 114414680704 171622021056 343244042112