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34224242002340 = 225131719407528483
BaseRepresentation
bin1111100100000011100111…
…10010011000100110100100
311111011210202021021110102012
413302001303302120212210
513441212221423033330
6200442222201333352
710131422423102105
oct762016362304644
9144153667243365
1034224242002340
11a9a5468427aa5
123a08a79497258
131613441a25520
148646682003ac
153e53b759dc95
hex1f2073c989a4

34224242002340 has 96 divisors (see below), whose sum is σ = 86265629493120. Its totient is φ = 11267347470336.

The previous prime is 34224242002277. The next prime is 34224242002381. The reversal of 34224242002340 is 4320024242243.

It is a junction number, because it is equal to n+sod(n) for n = 34224242002297 and 34224242002306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203680262 + ... + 203848221.

It is an arithmetic number, because the mean of its divisors is an integer number (898600307220).

Almost surely, 234224242002340 is an apocalyptic number.

It is an amenable number.

34224242002340 is an abundant number, since it is smaller than the sum of its proper divisors (52041387490780).

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

34224242002340 is a wasteful number, since it uses less digits than its factorization.

34224242002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407528541 (or 407528539 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 34224242002340 its reverse (4320024242243), we get a palindrome (38544266244583).

The spelling of 34224242002340 in words is "thirty-four trillion, two hundred twenty-four billion, two hundred forty-two million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 323 340 380 442 494 646 884 988 1105 1235 1292 1615 2210 2470 3230 4199 4420 4940 6460 8398 16796 20995 41990 83980 407528483 815056966 1630113932 2037642415 4075284830 5297870279 6927984211 7743041177 8150569660 10595740558 13855968422 15486082354 21191481116 26489351395 27711936844 30972164708 34639921055 38715205885 52978702790 69279842110 77430411770 90063794743 100659535301 105957405580 131631700009 138559684220 154860823540 180127589486 201319070602 263263400018 360255178972 402638141204 450318973715 503297676505 526526800036 658158500045 900637947430 1006595353010 1316317000090 1711212100117 1801275894860 2013190706020 2632634000180 3422424200234 6844848400468 8556060500585 17112121001170 34224242002340