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34220464245 = 325111721119273
BaseRepresentation
bin11111110111101100…
…101101100001110101
310021022212211200220200
4133313230231201311
51030040414323440
623415355151113
72321005101222
oct376754554165
9107285750820
1034220464245
1113570618310
126770445499
1332c4887616
141928b8a949
15d543ebc30
hex7f7b2d875

34220464245 has 96 divisors (see below), whose sum is σ = 68842410624. Its totient is φ = 15540940800.

The previous prime is 34220464219. The next prime is 34220464247. The reversal of 34220464245 is 54246402243.

34220464245 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 0 + 4 + 642 + 4 + 5 = 666.

It is not a de Polignac number, because 34220464245 - 26 = 34220464181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220464247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1765929 + ... + 1785201.

It is an arithmetic number, because the mean of its divisors is an integer number (717108444).

Almost surely, 234220464245 is an apocalyptic number.

It is an amenable number.

34220464245 is an abundant number, since it is smaller than the sum of its proper divisors (34621946379).

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

34220464245 is a wasteful number, since it uses less digits than its factorization.

34220464245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523 (or 19520 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 34220464245 its reverse (54246402243), we get a palindrome (88466866488).

The spelling of 34220464245 in words is "thirty-four billion, two hundred twenty million, four hundred sixty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 211 255 495 561 633 765 935 1055 1683 1899 2321 2805 3165 3587 6963 8415 9495 10761 11605 17935 19273 20889 32283 34815 39457 53805 57819 96365 104445 118371 161415 173457 197285 212003 289095 327641 355113 591855 636009 867285 982923 1060015 1638205 1775565 1908027 2948769 3180045 3604051 4066603 4914615 9540135 10812153 12199809 14743845 18020255 20333015 32436459 36599427 44732633 54060765 60999045 69132251 134197899 162182295 182997135 207396753 223663165 345661255 402593697 622190259 670989495 760454761 1036983765 2012968485 2281364283 3110951295 3802273805 6844092849 11406821415 34220464245