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349780761 = 361153823
BaseRepresentation
bin10100110110010…
…011101100011001
3220101011201000000
4110312103230121
51204020441021
654413003213
711445041661
oct2466235431
9811151000
10349780761
1116a495510
1299183509
135760a485
14346511a1
1520a93b26
hex14d93b19

349780761 has 56 divisors (see below), whose sum is σ = 583609536. Its totient is φ = 207735840.

The previous prime is 349780759. The next prime is 349780777. The reversal of 349780761 is 167087943.

It is not a de Polignac number, because 349780761 - 21 = 349780759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349787761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 424596 + ... + 425418.

Almost surely, 2349780761 is an apocalyptic number.

It is an amenable number.

349780761 is a deficient number, since it is larger than the sum of its proper divisors (233828775).

349780761 is an equidigital number, since it uses as much as digits as its factorization.

349780761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 349780761 is about 18702.4266072614. The cubic root of 349780761 is about 704.5826955453.

The spelling of 349780761 in words is "three hundred forty-nine million, seven hundred eighty thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 27 33 53 81 99 159 243 297 477 583 729 823 891 1431 1749 2469 2673 4293 5247 7407 8019 9053 12879 15741 22221 27159 38637 43619 47223 66663 81477 130857 141669 199989 244431 392571 425007 479809 599967 733293 1177713 1439427 2199879 3533139 4318281 6599637 10599417 12954843 31798251 38864529 116593587 349780761