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349390360950 = 235215116792369
BaseRepresentation
bin1010001010110010100…
…10011101000101110110
31020101211121121022210220
411011121102131011312
521211022413022300
6424301355555210
734146135031641
oct5053122350566
91211747538726
10349390360950
111251a2828524
125786a15bb06
1326c414a9567
1412ca68daa58
15914d77eda0
hex515949d176

349390360950 has 96 divisors (see below), whose sum is σ = 877458839040. Its totient is φ = 91998528000.

The previous prime is 349390360889. The next prime is 349390360951. The reversal of 349390360950 is 59063093943.

It is a junction number, because it is equal to n+sod(n) for n = 349390360893 and 349390360902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349390360951) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3736366 + ... + 3828734.

It is an arithmetic number, because the mean of its divisors is an integer number (9140196240).

Almost surely, 2349390360950 is an apocalyptic number.

349390360950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349390360950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438729419520).

349390360950 is an abundant number, since it is smaller than the sum of its proper divisors (528068478090).

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

349390360950 is a wasteful number, since it uses less digits than its factorization.

349390360950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92702 (or 92697 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 51.

The spelling of 349390360950 in words is "three hundred forty-nine billion, three hundred ninety million, three hundred sixty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 151 167 302 334 453 501 755 835 906 1002 1510 1670 2265 2505 3775 4175 4530 5010 7550 8350 11325 12525 22650 25050 25217 50434 75651 92369 126085 151302 184738 252170 277107 378255 461845 554214 630425 756510 923690 1260850 1385535 1891275 2309225 2771070 3782550 4618450 6927675 13855350 13947719 15425623 27895438 30851246 41843157 46276869 69738595 77128115 83686314 92553738 139477190 154256230 209215785 231384345 348692975 385640575 418431570 462768690 697385950 771281150 1046078925 1156921725 2092157850 2313843450 2329269073 4658538146 6987807219 11646345365 13975614438 23292690730 34939036095 58231726825 69878072190 116463453650 174695180475 349390360950