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10348065 = 3257213192
BaseRepresentation
bin100111011110…
…011000100001
3201110201212200
4213132120201
510122114230
61005443413
7153646200
oct47363041
921421780
1010348065
115928722
123570569
1321b4120
141535237
15d96160
hex9de621

10348065 has 108 divisors (see below), whose sum is σ = 23714964. Its totient is φ = 4136832.

The previous prime is 10348061. The next prime is 10348097. The reversal of 10348065 is 56084301.

10348065 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 7800849 = 1596^2 + 2793^2 .

It is not a de Polignac number, because 10348065 - 22 = 10348061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348061) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 544626 + ... + 544644.

It is an arithmetic number, because the mean of its divisors is an integer number (219583).

Almost surely, 210348065 is an apocalyptic number.

10348065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10348065 is an abundant number, since it is smaller than the sum of its proper divisors (13366899).

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

10348065 is a wasteful number, since it uses less digits than its factorization.

10348065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10348065 is about 3216.8408415711. The cubic root of 10348065 is about 217.9146272335.

The spelling of 10348065 in words is "ten million, three hundred forty-eight thousand, sixty-five".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 49 57 63 65 91 95 105 117 133 147 171 195 245 247 273 285 315 361 399 441 455 585 637 665 735 741 819 855 931 1083 1197 1235 1365 1729 1805 1911 1995 2205 2223 2527 2793 3185 3249 3705 4095 4655 4693 5187 5415 5733 5985 7581 8379 8645 9555 11115 12103 12635 13965 14079 15561 16245 17689 22743 23465 25935 28665 32851 36309 37905 41895 42237 53067 60515 70395 77805 88445 98553 108927 113715 159201 164255 181545 211185 229957 265335 295659 492765 544635 689871 796005 1149785 1478295 2069613 3449355 10348065