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348325313085 = 325192772835197
BaseRepresentation
bin1010001000110011100…
…11100111101000111101
31020022002101112021210200
411010121303213220331
521201332240004320
6424003552154113
734110553211061
oct5043163475075
91208071467720
10348325313085
111247a6616282
1257611538939
1326b01945919
1412c05299aa1
1590da000290
hex5119ce7a3d

348325313085 has 96 divisors (see below), whose sum is σ = 640212293760. Its totient is φ = 174707311104.

The previous prime is 348325313069. The next prime is 348325313099. The reversal of 348325313085 is 580313523843.

348325313085 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 2 + 531 + 30 + 85 = 666.

It is not a de Polignac number, because 348325313085 - 24 = 348325313069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 348325313085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67021707 + ... + 67026903.

It is an arithmetic number, because the mean of its divisors is an integer number (6668878060).

Almost surely, 2348325313085 is an apocalyptic number.

It is an amenable number.

348325313085 is a deficient number, since it is larger than the sum of its proper divisors (291886980675).

348325313085 is a wasteful number, since it uses less digits than its factorization.

348325313085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 348325313085 in words is "three hundred forty-eight billion, three hundred twenty-five million, three hundred thirteen thousand, eighty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 277 283 285 831 849 855 1385 1415 2493 2547 4155 4245 5197 5263 5377 12465 12735 15591 15789 16131 25985 26315 26885 46773 47367 48393 77955 78391 78945 80655 98743 233865 235173 236835 241965 296229 391955 493715 705519 888687 1175865 1439569 1470751 1481145 1489429 3527595 4318707 4412253 4443435 4468287 7197845 7353755 7447145 12956121 13236759 13404861 21593535 22061265 22341435 27351811 27944269 64780605 66183795 67024305 82055433 83832807 136759055 139721345 246166299 251498421 407398027 410277165 419164035 1222194081 1230831495 1257492105 2036990135 3666582243 6110970405 7740562513 18332911215 23221687539 38702812565 69665062617 116108437695 348325313085