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34341334401320 = 23534710972255387
BaseRepresentation
bin1111100111011101101110…
…00010011100000100101000
311111120222222122021122010222
413303232313002130010220
514000122023101320240
6201012105150025212
710143036165055442
oct763566702340450
9144528878248128
1034341334401320
11aa40094aa1471
123a276b74a8208
1316214b270a1cb
1486a1b5313492
153e846c162eb5
hex1f3bb709c128

34341334401320 has 64 divisors (see below), whose sum is σ = 77561349871680. Its totient is φ = 13684455318016.

The previous prime is 34341334401313. The next prime is 34341334401371. The reversal of 34341334401320 is 2310443314343.

It is a super-3 number, since 3×343413344013203 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14098667 + ... + 16354053.

It is an arithmetic number, because the mean of its divisors is an integer number (1211896091745).

Almost surely, 234341334401320 is an apocalyptic number.

It is an amenable number.

34341334401320 is an abundant number, since it is smaller than the sum of its proper divisors (43220015470360).

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

34341334401320 is a wasteful number, since it uses less digits than its factorization.

34341334401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256842 (or 2256838 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 34341334401320 its reverse (2310443314343), we get a palindrome (36651777715663).

The spelling of 34341334401320 in words is "thirty-four trillion, three hundred forty-one billion, three hundred thirty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 347 694 1097 1388 1735 2194 2776 3470 4388 5485 6940 8776 10970 13880 21940 43880 380659 761318 1522636 1903295 2255387 3045272 3806590 4510774 7613180 9021548 11276935 15226360 18043096 22553870 45107740 90215480 782619289 1565238578 2474159539 3130477156 3913096445 4948319078 6260954312 7826192890 9896638156 12370797695 15652385780 19793276312 24741595390 31304771560 49483190780 98966381560 858533360033 1717066720066 3434133440132 4292666800165 6868266880264 8585333600330 17170667200660 34341334401320