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34354211000 = 235336779343
BaseRepresentation
bin11111111111101010…
…111010100010111000
310021200012111201222012
4133333222322202320
51030324134223000
623440533545052
72324220655364
oct377752724270
9107605451865
1034354211000
111362a06921a
1267a91a5188
1333164b5605
14193c8442a4
15d6101a735
hex7ffaba8b8

34354211000 has 64 divisors (see below), whose sum is σ = 80419322880. Its totient is φ = 13736476800.

The previous prime is 34354210937. The next prime is 34354211077. The reversal of 34354211000 is 11245343.

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 15 ways as a sum of consecutive naturals, for example, 3672329 + ... + 3681671.

It is an arithmetic number, because the mean of its divisors is an integer number (1256551920).

Almost surely, 234354211000 is an apocalyptic number.

It is an amenable number.

34354211000 is an abundant number, since it is smaller than the sum of its proper divisors (46065111880).

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

34354211000 is a wasteful number, since it uses less digits than its factorization.

34354211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 34354211000 its reverse (11245343), we get a palindrome (34365456343).

The spelling of 34354211000 in words is "thirty-four billion, three hundred fifty-four million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3677 7354 9343 14708 18385 18686 29416 36770 37372 46715 73540 74744 91925 93430 147080 183850 186860 233575 367700 373720 459625 467150 735400 919250 934300 1167875 1838500 1868600 2335750 3677000 4671500 9343000 34354211 68708422 137416844 171771055 274833688 343542110 687084220 858855275 1374168440 1717710550 3435421100 4294276375 6870842200 8588552750 17177105500 34354211000