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34223606406 = 23311173389147
BaseRepresentation
bin11111110111111000…
…101100101010000110
310021100002202100011000
4133313320230222012
51030042220401111
623415550354130
72321043566103
oct376770545206
9107302670130
1034223606406
1113572374040
1267714bb946
1332c54178a2
141929367aaa
15d5481cc56
hex7f7e2ca86

34223606406 has 64 divisors (see below), whose sum is σ = 87846716160. Its totient is φ = 9760740480.

The previous prime is 34223606399. The next prime is 34223606407. The reversal of 34223606406 is 60460632243.

34223606406 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 3 + 6 + 0 + 640 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34223606407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684476 + ... + 1704671.

It is an arithmetic number, because the mean of its divisors is an integer number (1372604940).

Almost surely, 234223606406 is an apocalyptic number.

34223606406 is an abundant number, since it is smaller than the sum of its proper divisors (53623109754).

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

34223606406 is a wasteful number, since it uses less digits than its factorization.

34223606406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389186 (or 3389180 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34223606406 in words is "thirty-four billion, two hundred twenty-three million, six hundred six thousand, four hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 3389147 6778294 10167441 20334882 30502323 37280617 57615499 61004646 74561234 91506969 111841851 115230998 172846497 183013938 223683702 335525553 345692994 518539491 633770489 671051106 1006576659 1037078982 1267540978 1555618473 1901311467 2013153318 3111236946 3802622934 5703934401 11407868802 17111803203 34223606406