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344025422425404 = 223329158369388559
BaseRepresentation
bin100111000111000111010100…
…1000110001110110100111100
31200010002111202012100022122000
41032032032221012032310330
5330043003031120103104
63215403033001222300
7132315005450563236
oct11616165106166474
91603074665308560
10344025422425404
119a6873a9264695
1232702521a91990
13119c65c5695175
1460d4cc2759256
1529b8d5634b639
hex138e3a918ed3c

344025422425404 has 96 divisors (see below), whose sum is σ = 923256423936000. Its totient is φ = 110650880346048.

The previous prime is 344025422425369. The next prime is 344025422425409. The reversal of 344025422425404 is 404524224520443.

344025422425404 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 25 + 42 + 2 + 42 + 540 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344025422425404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344025422425409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29736324 + ... + 39652235.

It is an arithmetic number, because the mean of its divisors is an integer number (9617254416000).

Almost surely, 2344025422425404 is an apocalyptic number.

It is an amenable number.

344025422425404 is an abundant number, since it is smaller than the sum of its proper divisors (579231001510596).

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

344025422425404 is a wasteful number, since it uses less digits than its factorization.

344025422425404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69390184 (or 69390176 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 45.

Adding to 344025422425404 its reverse (404524224520443), we get a palindrome (748549646945847).

The spelling of 344025422425404 in words is "three hundred forty-four trillion, twenty-five billion, four hundred twenty-two million, four hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 1583 3132 3166 4749 6332 9498 14247 18996 28494 42741 45907 56988 85482 91814 137721 170964 183628 275442 413163 550884 826326 1239489 1652652 2478978 4957956 69388559 138777118 208165677 277554236 416331354 624497031 832662708 1248994062 1873491093 2012268211 2497988124 3746982186 4024536422 6036804633 7493964372 8049072844 12073609266 18110413899 24147218532 36220827798 54331241697 72441655596 108662483394 109842088897 217324966788 219684177794 329526266691 439368355588 659052533382 988578800073 1318105066764 1977157600146 2965736400219 3185420578013 3954315200292 5931472800438 6370841156026 9556261734039 11862945600876 12741682312052 19112523468078 28668785202117 38225046936156 57337570404234 86006355606351 114675140808468 172012711212702 344025422425404