Search a number
-
+
34425030000 = 243542939569
BaseRepresentation
bin100000000011111001…
…000100010101110000
310021212010202201101010
4200003321010111300
51031000301430000
623451543510520
72326040632644
oct400371042560
9107763681333
1034425030000
1113666039619
126808a58440
13332807cb4a
141947ddac24
15d67358d50
hex803e44570

34425030000 has 200 divisors, whose sum is σ = 114963512400. Its totient is φ = 8863232000.

The previous prime is 34425029993. The next prime is 34425030037. The reversal of 34425030000 is 3052443.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 850216 + ... + 889784.

It is an arithmetic number, because the mean of its divisors is an integer number (574817562).

Almost surely, 234425030000 is an apocalyptic number.

34425030000 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 34425030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57481756200).

34425030000 is an abundant number, since it is smaller than the sum of its proper divisors (80538482400).

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

34425030000 is a wasteful number, since it uses less digits than its factorization.

34425030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39629 (or 39608 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 34425030000 its reverse (3052443), we get a palindrome (34428082443).

The spelling of 34425030000 in words is "thirty-four billion, four hundred twenty-five million, thirty thousand".