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345220086267 = 3372673894587
BaseRepresentation
bin1010000011000001011…
…10000111100111111011
31020000001222111102102000
411001200232013213323
521124002320230032
6422331504312043
733640606213500
oct5014056074773
91200058442360
10345220086267
11123452814421
1256aa5612623
132672850a7c4
14129ccb014a7
158ea75c2e7c
hex5060b879fb

345220086267 has 48 divisors (see below), whose sum is σ = 603816923520. Its totient is φ = 194324263056.

The previous prime is 345220086227. The next prime is 345220086271. The reversal of 345220086267 is 762680022543.

345220086267 is a `hidden beast` number, since 3 + 4 + 522 + 0 + 0 + 8 + 62 + 67 = 666.

345220086267 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 345220086267 - 222 = 345215891963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345220086227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858653 + ... + 2035934.

It is an arithmetic number, because the mean of its divisors is an integer number (12579519240).

Almost surely, 2345220086267 is an apocalyptic number.

345220086267 is a deficient number, since it is larger than the sum of its proper divisors (258596837253).

345220086267 is a wasteful number, since it uses less digits than its factorization.

345220086267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894677 (or 3894664 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 345220086267 in words is "three hundred forty-five billion, two hundred twenty million, eighty-six thousand, two hundred sixty-seven".

Divisors: 1 3 7 9 21 27 49 63 67 147 189 201 441 469 603 1323 1407 1809 3283 4221 9849 12663 29547 88641 3894587 11683761 27262109 35051283 81786327 105153849 190834763 245358981 260937329 572504289 736076943 782811987 1717512867 1826561303 2348435961 5152538601 5479683909 7045307883 12785929121 16439051727 38357787363 49317155181 115073362089 345220086267