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34084197000 = 23325371493631
BaseRepresentation
bin11111101111100100…
…111001001010001000
310020222101102121101200
4133233210321022020
51024301023301000
623354050344200
72314431615510
oct375744711210
9106871377350
1034084197000
1113500705757
12673288b060
1332a2586309
141914a38840
15d47481500
hex7ef939288

34084197000 has 384 divisors, whose sum is σ = 132582528000. Its totient is φ = 7736256000.

The previous prime is 34084196999. The next prime is 34084197013. The reversal of 34084197000 is 79148043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9385185 + ... + 9388815.

It is an arithmetic number, because the mean of its divisors is an integer number (345267000).

Almost surely, 234084197000 is an apocalyptic number.

34084197000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34084197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66291264000).

34084197000 is an abundant number, since it is smaller than the sum of its proper divisors (98498331000).

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

34084197000 is a wasteful number, since it uses less digits than its factorization.

34084197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 34084197000 in words is "thirty-four billion, eighty-four million, one hundred ninety-seven thousand".