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34134220000 = 25544736313
BaseRepresentation
bin11111110010100011…
…101101110011100000
310021002212120001001101
4133302203231303200
51024401330020000
623403034444144
72315610040246
oct376243556340
9107085501041
1034134220000
1113526971781
126747593654
1332aca4c01a
14191b53a796
15d4ba62e6a
hex7f28edce0

34134220000 has 120 divisors (see below), whose sum is σ = 85764371616. Its totient is φ = 13362816000.

The previous prime is 34134219961. The next prime is 34134220007. The reversal of 34134220000 is 2243143.

It is a self number, because there is not a number n which added to its sum of digits gives 34134220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 921844 + ... + 958156.

Almost surely, 234134220000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882185808).

34134220000 is an abundant number, since it is smaller than the sum of its proper divisors (51630151616).

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

34134220000 is an equidigital number, since it uses as much as digits as its factorization.

34134220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36390 (or 36367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34134220000 its reverse (2243143), we get a palindrome (34136463143).

The spelling of 34134220000 in words is "thirty-four billion, one hundred thirty-four million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 23500 29375 36313 37600 47000 58750 72626 94000 117500 145252 181565 188000 235000 290504 363130 470000 581008 726260 907825 940000 1162016 1452520 1706711 1815650 2905040 3413422 3631300 4539125 5810080 6826844 7262600 8533555 9078250 13653688 14525200 17067110 18156500 22695625 27307376 29050400 34134220 36313000 42667775 45391250 54614752 68268440 72626000 85335550 90782500 136536880 145252000 170671100 181565000 213338875 273073760 341342200 363130000 426677750 682684400 726260000 853355500 1066694375 1365368800 1706711000 2133388750 3413422000 4266777500 6826844000 8533555000 17067110000 34134220000