Search a number
-
+
3420445000 = 23547223607
BaseRepresentation
bin1100101111011111…
…1101100101001000
322211101011121110011
43023313331211020
524001113220000
61323224001304
7150522205600
oct31367754510
98741147404
103420445000
1114a582aa55
127b5600234
1342683396b
142463adc00
151504452ba
hexcbdfd948

3420445000 has 240 divisors, whose sum is σ = 9743880960. Its totient is φ = 1119888000.

The previous prime is 3420444997. The next prime is 3420445027. The reversal of 3420445000 is 5440243.

It is a happy number.

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 59 ways as a sum of consecutive naturals, for example, 5634697 + ... + 5635303.

It is an arithmetic number, because the mean of its divisors is an integer number (40599504).

Almost surely, 23420445000 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 3420445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871940480).

3420445000 is an abundant number, since it is smaller than the sum of its proper divisors (6323435960).

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

3420445000 is a wasteful number, since it uses less digits than its factorization.

3420445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3420445000 is about 58484.5706148211. The cubic root of 3420445000 is about 1506.7025981024.

Adding to 3420445000 its reverse (5440243), we get a palindrome (3425885243).

The spelling of 3420445000 in words is "three billion, four hundred twenty million, four hundred forty-five thousand".