Search a number
-
+
34700790000 = 243542350291
BaseRepresentation
bin100000010100010101…
…000000100011110000
310022120100122202222110
4200110111000203300
51032031400240000
623535154205320
72335626563652
oct402425004360
9108510582873
1034700790000
1113797767148
126885283840
133370241646
1419728a06d2
15d8167a850
hex8145408f0

34700790000 has 200 divisors, whose sum is σ = 116891482752. Its totient is φ = 8851040000.

The previous prime is 34700789999. The next prime is 34700790017. The reversal of 34700790000 is 9700743.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 34700790000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 664855 + ... + 715145.

Almost surely, 234700790000 is an apocalyptic number.

34700790000 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 34700790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58445741376).

34700790000 is an abundant number, since it is smaller than the sum of its proper divisors (82190692752).

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

34700790000 is a wasteful number, since it uses less digits than its factorization.

34700790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50345 (or 50324 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The spelling of 34700790000 in words is "thirty-four billion, seven hundred million, seven hundred ninety thousand".