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344047562112 = 2734783922721
BaseRepresentation
bin1010000000110101101…
…01010010110110000000
31012220001021012000122110
411000122311102312000
521114102133441422
6422015301135320
733566551011642
oct5003265226600
91186037160573
10344047562112
11122a009746a1
12568189ba540
132659c616427
141291b0c4892
158e396b360c
hex501ad52d80

344047562112 has 128 divisors (see below), whose sum is σ = 934474060800. Its totient is φ = 112103751680.

The previous prime is 344047562093. The next prime is 344047562123. The reversal of 344047562112 is 211265740443.

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

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, 15130912 + ... + 15153632.

It is an arithmetic number, because the mean of its divisors is an integer number (7300578600).

Almost surely, 2344047562112 is an apocalyptic number.

344047562112 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 344047562112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467237030400).

344047562112 is an abundant number, since it is smaller than the sum of its proper divisors (590426498688).

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

344047562112 is a wasteful number, since it uses less digits than its factorization.

344047562112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23624 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 344047562112 in words is "three hundred forty-four billion, forty-seven million, five hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 839 1128 1504 1678 2256 2517 3008 3356 4512 5034 6016 6712 9024 10068 13424 18048 20136 22721 26848 39433 40272 45442 53696 68163 78866 80544 90884 107392 118299 136326 157732 161088 181768 236598 272652 315464 322176 363536 473196 545304 630928 727072 946392 1067887 1090608 1261856 1454144 1892784 2135774 2181216 2523712 2908288 3203661 3785568 4271548 4362432 5047424 6407322 7571136 8543096 8724864 12814644 15142272 17086192 19062919 25629288 34172384 38125838 51258576 57188757 68344768 76251676 102517152 114377514 136689536 152503352 205034304 228755028 305006704 410068608 457510056 610013408 895957193 915020112 1220026816 1791914386 1830040224 2440053632 2687871579 3583828772 3660080448 5375743158 7167657544 7320160896 10751486316 14335315088 21502972632 28670630176 43005945264 57341260352 86011890528 114682520704 172023781056 344047562112