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3534100161340 = 2257109210212081
BaseRepresentation
bin110011011011011000110…
…010001110001100111100
3110111212010111221200001011
4303123120302032030330
5430400314120130330
611303313155325004
7513221203502440
oct63333062161474
913455114850034
103534100161340
1111428924530a1
12490b22bb0764
131c8358633528
14c30a0d0c820
1561de3e0d82a
hex336d8c8e33c

3534100161340 has 144 divisors (see below), whose sum is σ = 8572871248704. Its totient is φ = 1198822809600.

The previous prime is 3534100161323. The next prime is 3534100161343. The reversal of 3534100161340 is 431610014353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3534100161343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698269100 + ... + 1698271180.

It is an arithmetic number, because the mean of its divisors is an integer number (59533828116).

Almost surely, 23534100161340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3534100161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286435624352).

3534100161340 is an abundant number, since it is smaller than the sum of its proper divisors (5038771087364).

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

3534100161340 is a wasteful number, since it uses less digits than its factorization.

3534100161340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 3534100161340 its reverse (431610014353), we get a palindrome (3965710175693).

The spelling of 3534100161340 in words is "three trillion, five hundred thirty-four billion, one hundred million, one hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1021 1090 1526 2042 2081 2180 3052 3815 4084 4162 5105 7147 7630 8324 10210 10405 11881 14294 14567 15260 20420 20810 23762 28588 29134 35735 41620 47524 58268 59405 71470 72835 83167 111289 118810 142940 145670 166334 222578 226829 237620 291340 332668 415835 445156 453658 556445 779023 831670 907316 1112890 1134145 1558046 1587803 1663340 2124701 2225780 2268290 3116092 3175606 3895115 4249402 4536580 6351212 7790230 7939015 8498804 10623505 12130501 14872907 15580460 15878030 21247010 24261002 24724361 29745814 31756060 42494020 48522004 49448722 59491628 60652505 74364535 84913507 98897444 121305010 123621805 148729070 169827014 173070527 231592409 242610020 247243610 297458140 339654028 346141054 424567535 463184818 494487220 692282108 849135070 865352635 926369636 1157962045 1621146863 1698270140 1730705270 2315924090 3242293726 3461410540 4631848180 6484587452 8105734315 16211468630 25243572581 32422937260 50487145162 100974290324 126217862905 176705008067 252435725810 353410016134 504871451620 706820032268 883525040335 1767050080670 3534100161340