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3283086240 = 253257317223
BaseRepresentation
bin1100001110101111…
…1110101110100000
322110210201001122200
43003223332232200
523210432224430
61301435533200
7144233526000
oct30353765640
98423631580
103283086240
111435242315
127775ba200
1340423c8a5
14232056000
15143361460
hexc3afeba0

3283086240 has 864 divisors, whose sum is σ = 14482540800. Its totient is φ = 675569664.

The previous prime is 3283086239. The next prime is 3283086241. The reversal of 3283086240 is 426803823.

3283086240 is a `hidden beast` number, since 3 + 28 + 3 + 0 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3283086239) and next prime (3283086241).

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

It is a junction number, because it is equal to n+sod(n) for n = 3283086195 and 3283086204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283086241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142742869 + ... + 142742891.

It is an arithmetic number, because the mean of its divisors is an integer number (16762200).

Almost surely, 23283086240 is an apocalyptic number.

3283086240 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 3283086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241270400).

3283086240 is an abundant number, since it is smaller than the sum of its proper divisors (11199454560).

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

3283086240 is a wasteful number, since it uses less digits than its factorization.

3283086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3283086240 is about 57298.2219619422. The cubic root of 3283086240 is about 1486.2576293186.

The spelling of 3283086240 in words is "three billion, two hundred eighty-three million, eighty-six thousand, two hundred forty".