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3005420000 = 25541119719
BaseRepresentation
bin1011001100100011…
…0001000111100000
321202110020011011212
42303020301013200
522123341420000
61214120325252
7134322435302
oct26310610740
97673204155
103005420000
111302532590
126ba613828
1338b86153b
14207217972
15128cb4c35
hexb32311e0

3005420000 has 240 divisors, whose sum is σ = 8502278400. Its totient is φ = 1033920000.

The previous prime is 3005419931. The next prime is 3005420059. The reversal of 3005420000 is 245003.

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, 4179641 + ... + 4180359.

It is an arithmetic number, because the mean of its divisors is an integer number (35426160).

Almost surely, 23005420000 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 3005420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251139200).

3005420000 is an abundant number, since it is smaller than the sum of its proper divisors (5496858400).

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

3005420000 is a wasteful number, since it uses less digits than its factorization.

3005420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3005420000 is about 54821.7110276576. The cubic root of 3005420000 is about 1443.1176025100.

Adding to 3005420000 its reverse (245003), we get a palindrome (3005665003).

The spelling of 3005420000 in words is "three billion, five million, four hundred twenty thousand".