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3005423064 = 233271723101151
BaseRepresentation
bin1011001100100011…
…0001110111011000
321202110020022101100
42303020301313120
522123342014224
61214120351400
7134322450240
oct26310616730
97673208340
103005423064
111302534916
126ba615560
1338b862a57
14207218b20
15128cb5ac9
hexb3231dd8

3005423064 has 384 divisors, whose sum is σ = 10448455680. Its totient is φ = 760320000.

The previous prime is 3005423053. The next prime is 3005423107. The reversal of 3005423064 is 4603245003.

3005423064 is a `hidden beast` number, since 30 + 0 + 542 + 30 + 64 = 666.

3005423064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19903389 + ... + 19903539.

It is an arithmetic number, because the mean of its divisors is an integer number (27209520).

Almost surely, 23005423064 is an apocalyptic number.

3005423064 is a gapful number since it is divisible by the number (34) 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 3005423064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224227840).

3005423064 is an abundant number, since it is smaller than the sum of its proper divisors (7443032616).

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

3005423064 is a wasteful number, since it uses less digits than its factorization.

3005423064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3005423064 is about 54821.7389727834. The cubic root of 3005423064 is about 1443.1180929252.

Adding to 3005423064 its reverse (4603245003), we get a palindrome (7608668067).

The spelling of 3005423064 in words is "three billion, five million, four hundred twenty-three thousand, sixty-four".