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345220264524232 = 2310110737315496911
BaseRepresentation
bin100111001111110011101101…
…1001111000111100111001000
31200021022201211210112220100201
41032133213123033013213020
5330222042100204233412
63222120000010141544
7132500224656053446
oct11637473317074710
91607281753486321
10345220264524232
119aaa81014a5239
12328760001218b4
1311a821924b6c36
146136a6dc3bb96
1529d9e882dee57
hex139f9db3c79c8

345220264524232 has 128 divisors (see below), whose sum is σ = 662097908736000. Its totient is φ = 168716594304000.

The previous prime is 345220264524227. The next prime is 345220264524263. The reversal of 345220264524232 is 232425462022543.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49952284857 + ... + 49952291767.

It is an arithmetic number, because the mean of its divisors is an integer number (5172639912000).

Almost surely, 2345220264524232 is an apocalyptic number.

It is an amenable number.

345220264524232 is a deficient number, since it is larger than the sum of its proper divisors (316877644211768).

345220264524232 is a wasteful number, since it uses less digits than its factorization.

345220264524232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9047 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 46.

The spelling of 345220264524232 in words is "three hundred forty-five trillion, two hundred twenty billion, two hundred sixty-four million, five hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 101 107 202 214 373 404 428 746 808 856 1492 1549 2984 3098 6196 6911 10807 12392 13822 21614 27644 37673 39911 43228 55288 75346 79822 86456 150692 156449 159644 165743 301384 312898 319288 331486 577777 625796 662972 698011 739477 1155554 1251592 1325944 1396022 1478954 2311108 2577803 2792044 2957908 4031011 4622216 5155606 5584088 5915816 8062022 10311212 10705139 16124044 16740043 20622424 21410278 32248088 33480086 42820556 58355477 61822139 66960172 74687177 85641112 116710954 123644278 133920344 149374354 233421908 247288556 260358103 275824921 298748708 466843816 494577112 520716206 551649842 597497416 1041432412 1081219039 1103299684 1145449873 2082864824 2162438078 2206599368 2290899746 3993016847 4324876156 4581799492 6244036039 7986033694 8649752312 9163598984 12488072078 15972067388 24976144156 27858317021 31944134776 49952288312 55716634042 111433268084 115690437173 222866536168 231380874346 403294701547 427252802629 462761748692 806589403094 854505605258 925523497384 1613178806188 1709011210516 3226357612376 3418022421032 43152533065529 86305066131058 172610132262116 345220264524232