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34005445215 = 3576112594217
BaseRepresentation
bin11111101010111000…
…011110101001011111
310020202220020121020220
4133222320132221133
51024120343221330
623342154412423
72312454341460
oct375270365137
9106686217226
1034005445215
1113470207335
126710431113
13328c172121
1419083b8d67
15d405c7710
hex7eae1ea5f

34005445215 has 64 divisors (see below), whose sum is σ = 63265950720. Its totient is φ = 15274736640.

The previous prime is 34005445183. The next prime is 34005445231. The reversal of 34005445215 is 51254450043.

It is not a de Polignac number, because 34005445215 - 25 = 34005445183 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 8061787 + ... + 8066003.

It is an arithmetic number, because the mean of its divisors is an integer number (988530480).

Almost surely, 234005445215 is an apocalyptic number.

34005445215 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34005445215 is a deficient number, since it is larger than the sum of its proper divisors (29260505505).

34005445215 is a wasteful number, since it uses less digits than its factorization.

34005445215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 34005445215 its reverse (51254450043), we get a palindrome (85259895258).

The spelling of 34005445215 in words is "thirty-four billion, five million, four hundred forty-five thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 61 105 183 305 427 915 1259 1281 2135 3777 4217 6295 6405 8813 12651 18885 21085 26439 29519 44065 63255 76799 88557 132195 147595 230397 257237 383995 442785 537593 771711 1151985 1286185 1612779 1800659 2687965 3858555 5309203 5401977 8063895 9003295 15927609 26546015 27009885 37164421 79638045 111493263 185822105 323861383 557466315 971584149 1619306915 2267029681 4857920745 6801089043 11335148405 34005445215