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34105421232 = 2432298167007
BaseRepresentation
bin11111110000110101…
…110110110110110000
310021000212100220120100
4133300311312312300
51024321441434412
623400125312400
72315110203651
oct376065666660
9107025326510
1034105421232
1113511691843
126739a05700
1332a6aa7a2c
1419177a1528
15d49274edc
hex7f0d76db0

34105421232 has 60 divisors (see below), whose sum is σ = 98739126720. Its totient is φ = 10976456064.

The previous prime is 34105421227. The next prime is 34105421293. The reversal of 34105421232 is 23212450143.

34105421232 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 5 + 421 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34105421196 and 34105421205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4079328 + ... + 4087679.

It is an arithmetic number, because the mean of its divisors is an integer number (1645652112).

Almost surely, 234105421232 is an apocalyptic number.

It is an amenable number.

34105421232 is an abundant number, since it is smaller than the sum of its proper divisors (64633705488).

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

34105421232 is a wasteful number, since it uses less digits than its factorization.

34105421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167050 (or 8167041 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34105421232 its reverse (23212450143), we get a palindrome (57317871375).

The spelling of 34105421232 in words is "thirty-four billion, one hundred five million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 8167007 16334014 24501021 32668028 49002042 65336056 73503063 98004084 130672112 147006126 196008168 236843203 294012252 392016336 473686406 588024504 710529609 947372812 1176049008 1421059218 1894745624 2131588827 2842118436 3789491248 4263177654 5684236872 8526355308 11368473744 17052710616 34105421232