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10334354349 = 3111789263787
BaseRepresentation
bin10011001111111100…
…11011101110101101
3222200012220121001210
421213332123232231
5132131043314344
64425245025033
7514044363654
oct114776335655
928605817053
1010334354349
114423523420
122004b55179
13c89056197
1470071a19b
15407405db9
hex267f9bbad

10334354349 has 64 divisors (see below), whose sum is σ = 16176568320. Its totient is φ = 5799045120.

The previous prime is 10334354267. The next prime is 10334354351. The reversal of 10334354349 is 94345343301.

It is not a de Polignac number, because 10334354349 - 27 = 10334354221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334354399) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13130934 + ... + 13131720.

It is an arithmetic number, because the mean of its divisors is an integer number (252758880).

Almost surely, 210334354349 is an apocalyptic number.

It is an amenable number.

10334354349 is a deficient number, since it is larger than the sum of its proper divisors (5842213971).

10334354349 is a wasteful number, since it uses less digits than its factorization.

10334354349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170.

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 10334354349 in words is "ten billion, three hundred thirty-four million, three hundred fifty-four thousand, three hundred forty-nine".

Divisors: 1 3 11 17 33 51 89 187 263 267 561 787 789 979 1513 2361 2893 2937 4471 4539 8657 8679 13379 13413 16643 23407 25971 40137 49181 49929 70043 70221 147169 147543 206981 210129 257477 397919 441507 620943 770473 772431 1190731 1193757 2276791 2311419 3518677 3572193 4377109 6830373 10556031 13098041 13131327 18421309 38705447 39294123 55263927 116116341 202634399 313162253 607903197 939486759 3444784783 10334354349