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349205777148 = 223235412338703
BaseRepresentation
bin1010001010011100100…
…10010100101011111100
31020101100202021111102210
411011032102110223330
521210133134332043
6424231203420420
734141434062514
oct5051622245374
91211322244383
10349205777148
11125108614a28
1257818384710
1326c1218c187
1412c8a1ac844
15913c46d633
hex514e494afc

349205777148 has 48 divisors (see below), whose sum is σ = 851812125696. Its totient is φ = 111135119040.

The previous prime is 349205777119. The next prime is 349205777237. The reversal of 349205777148 is 841777502943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020036 + ... + 1318667.

It is an arithmetic number, because the mean of its divisors is an integer number (17746085952).

Almost surely, 2349205777148 is an apocalyptic number.

It is an amenable number.

349205777148 is an abundant number, since it is smaller than the sum of its proper divisors (502606348548).

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

349205777148 is a wasteful number, since it uses less digits than its factorization.

349205777148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339274 (or 2339272 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 349205777148 in words is "three hundred forty-nine billion, two hundred five million, seven hundred seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 541 1082 1623 2164 3246 6492 12443 24886 37329 49772 74658 149316 2338703 4677406 7016109 9354812 14032218 28064436 53790169 107580338 161370507 215160676 322741014 645482028 1265238323 2530476646 3795714969 5060953292 7591429938 15182859876 29100481429 58200962858 87301444287 116401925716 174602888574 349205777148