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1085346297 = 3477272633
BaseRepresentation
bin100000010110001…
…0001000111111001
32210122021022020000
41000230101013321
54210322040142
6255410423213
735616201630
oct10054210771
92718238200
101085346297
11507716812
12263591b09
13143b1cb59
14a4206517
156543e14c
hex40b111f9

1085346297 has 40 divisors (see below), whose sum is σ = 1856190336. Its totient is φ = 619109568.

The previous prime is 1085346293. The next prime is 1085346323. The reversal of 1085346297 is 7926435801.

1085346297 is a `hidden beast` number, since 10 + 8 + 5 + 3 + 4 + 629 + 7 = 666.

1085346297 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1085346297 - 22 = 1085346293 is a prime.

It is a super-2 number, since 2×10853462972 = 2355953168823224418, which contains 22 as substring.

1085346297 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1085346293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410893 + ... + 413525.

It is a 1-persistent number, because it is pandigital, but 2⋅1085346297 = 2170692594 is not.

It is a vampire number, since it can be written as 2369745801 (with its own digits).

Almost surely, 21085346297 is an apocalyptic number.

It is an amenable number.

1085346297 is a deficient number, since it is larger than the sum of its proper divisors (770844039).

1085346297 is an equidigital number, since it uses as much as digits as its factorization.

1085346297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1085346297 is about 32944.5943517294. The cubic root of 1085346297 is about 1027.6757523433.

The spelling of 1085346297 in words is "one billion, eighty-five million, three hundred forty-six thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 21 27 63 81 189 567 727 2181 2633 5089 6543 7899 15267 18431 19629 23697 45801 55293 58887 71091 137403 165879 213273 412209 497637 1492911 1914191 5742573 13399337 17227719 40198011 51683157 120594033 155049471 361782099 1085346297