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3243502080 = 293257213217
BaseRepresentation
bin1100000101010011…
…1110101000000000
322101001012222101200
43001110332220000
523120314031310
61253503301200
7143243212200
oct30124765000
98331188350
103243502080
111414966135
127662aa800
133c8c90400
1422aab0400
1513eb429c0
hexc153ea00

3243502080 has 1080 divisors, whose sum is σ = 14981961852. Its totient is φ = 644087808.

The previous prime is 3243502061. The next prime is 3243502121. The reversal of 3243502080 is 802053423.

It can be written as a sum of positive squares in 6 ways, for example, as 669360384 + 2574141696 = 25872^2 + 50736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190794232 + ... + 190794248.

Almost surely, 23243502080 is an apocalyptic number.

3243502080 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 3243502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490980926).

3243502080 is an abundant number, since it is smaller than the sum of its proper divisors (11738459772).

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

3243502080 is a wasteful number, since it uses less digits than its factorization.

3243502080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3243502080 is about 56951.7522118503. The cubic root of 3243502080 is about 1480.2601928708.

The spelling of 3243502080 in words is "three billion, two hundred forty-three million, five hundred two thousand, eighty".