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34343000034440 = 2353734966489197
BaseRepresentation
bin1111100111100000110100…
…10100010100110010001000
311111121011021201110120020112
413303300122110110302020
514000133431002100230
6201012542330213452
710143125361523616
oct763603224246210
9144534251416215
1034343000034440
11aa4086a221269
123a27aa1284288
1316216b9812c36
1486a2d26106b6
153e85184c8d95
hex1f3c1a514c88

34343000034440 has 64 divisors (see below), whose sum is σ = 79587570006000. Its totient is φ = 13327626359808.

The previous prime is 34343000034439. The next prime is 34343000034479. The reversal of 34343000034440 is 4443000034343.

It can be written as a sum of positive squares in 8 ways, for example, as 27844977063556 + 6498022970884 = 5276834^2 + 2549122^2 .

It is a super-2 number, since 2×343430000344402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34343000034397 and 34343000034406.

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, 32728079 + ... + 33761118.

Almost surely, 234343000034440 is an apocalyptic number.

It is an amenable number.

34343000034440 is an abundant number, since it is smaller than the sum of its proper divisors (45244569971560).

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

34343000034440 is a wasteful number, since it uses less digits than its factorization.

34343000034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66489594 (or 66489590 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 34343000034440 its reverse (4443000034343), we get a palindrome (38786000068783).

The spelling of 34343000034440 in words is "thirty-four trillion, three hundred forty-three billion, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 349 370 698 740 1396 1480 1745 2792 3490 6980 12913 13960 25826 51652 64565 103304 129130 258260 516520 66489197 132978394 265956788 332445985 531913576 664891970 1329783940 2460100289 2659567880 4920200578 9840401156 12300501445 19680802312 23204729753 24601002890 46409459506 49202005780 92818919012 98404011560 116023648765 185637838024 232047297530 464094595060 858575000861 928189190120 1717150001722 3434300003444 4292875004305 6868600006888 8585750008610 17171500017220 34343000034440