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3285107280 = 24365713619
BaseRepresentation
bin1100001111001110…
…1100001001010000
322110221111202000000
43003303230021100
523211441413110
61301551130000
7144256644150
oct30363541120
98427452000
103285107280
1114363a27a4
12778213900
13404799780
14232420760
151436101c0
hexc3cec250

3285107280 has 560 divisors, whose sum is σ = 14117013120. Its totient is φ = 692001792.

The previous prime is 3285107279. The next prime is 3285107311. The reversal of 3285107280 is 827015823.

3285107280 is a `hidden beast` number, since 328 + 51 + 0 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×32851072802 = 21583859682217996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5306811 + ... + 5307429.

It is an arithmetic number, because the mean of its divisors is an integer number (25208952).

Almost surely, 23285107280 is an apocalyptic number.

3285107280 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 3285107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058506560).

3285107280 is an abundant number, since it is smaller than the sum of its proper divisors (10831905840).

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

3285107280 is a wasteful number, since it uses less digits than its factorization.

3285107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3285107280 is about 57315.8553979612. The cubic root of 3285107280 is about 1486.5625426169.

It can be divided in two parts, 328510 and 7280, that added together give a triangular number (335790 = T819).

The spelling of 3285107280 in words is "three billion, two hundred eighty-five million, one hundred seven thousand, two hundred eighty".