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85344335 = 5178312097
BaseRepresentation
bin1010001011001…
…00000001001111
312221120221102022
411011210001033
5133322004320
612245120355
72054262206
oct505440117
9187527368
1085344335
11441a150a
12246b90bb
13148b1b0b
14b49823d
15775c325
hex516404f

85344335 has 16 divisors (see below), whose sum is σ = 109753056. Its totient is φ = 63479808.

The previous prime is 85344323. The next prime is 85344397. The reversal of 85344335 is 53344358.

It is a cyclic number.

It is not a de Polignac number, because 85344335 - 24 = 85344319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85344295 and 85344304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (6859566).

Almost surely, 285344335 is an apocalyptic number.

85344335 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85344335 is a deficient number, since it is larger than the sum of its proper divisors (24408721).

85344335 is a wasteful number, since it uses less digits than its factorization.

85344335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202.

The product of its digits is 86400, while the sum is 35.

The square root of 85344335 is about 9238.1997705181. The cubic root of 85344335 is about 440.2758858640.

The spelling of 85344335 in words is "eighty-five million, three hundred forty-four thousand, three hundred thirty-five".

Divisors: 1 5 17 83 85 415 1411 7055 12097 60485 205649 1004051 1028245 5020255 17068867 85344335