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3284706816 = 2935171553
BaseRepresentation
bin1100001111001000…
…1010011000000000
322110220202101200000
43003302022120000
523211341104231
61301534400000
7144253355466
oct30362123000
98426671600
103284706816
111436149936
12778060000
13404689401
14232358836
151435816e6
hexc3c8a600

3284706816 has 240 divisors, whose sum is σ = 10415989584. Its totient is φ = 1029832704.

The previous prime is 3284706809. The next prime is 3284706827. The reversal of 3284706816 is 6186074823.

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 23 ways as a sum of consecutive naturals, for example, 2114296 + ... + 2115848.

Almost surely, 23284706816 is an apocalyptic number.

3284706816 is a gapful number since it is divisible by the number (36) 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 3284706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207994792).

3284706816 is an abundant number, since it is smaller than the sum of its proper divisors (7131282768).

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

3284706816 is an equidigital number, since it uses as much as digits as its factorization.

3284706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3284706816 is about 57312.3618079032. The cubic root of 3284706816 is about 1486.5021347496.

The spelling of 3284706816 in words is "three billion, two hundred eighty-four million, seven hundred six thousand, eight hundred sixteen".