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2717094240 = 253357194729
BaseRepresentation
bin1010000111110011…
…1001000101100000
321000100200200121000
42201330321011200
521031034003430
61125340432000
7124221630360
oct24174710540
97010620530
102717094240
111174802133
12639b48600
13343bc0393
141bac029a0
1510d80ee60
hexa1f39160

2717094240 has 384 divisors, whose sum is σ = 11442816000. Its totient is φ = 588238848.

The previous prime is 2717094239. The next prime is 2717094301. The reversal of 2717094240 is 424907172.

It is a super-2 number, since 2×27170942402 = 14765202218082355200, which contains 22 as substring.

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 = 2717094195 and 2717094204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572196 + ... + 576924.

It is an arithmetic number, because the mean of its divisors is an integer number (29799000).

Almost surely, 22717094240 is an apocalyptic number.

2717094240 is a gapful number since it is divisible by the number (20) 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 2717094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721408000).

2717094240 is an abundant number, since it is smaller than the sum of its proper divisors (8725721760).

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

2717094240 is a wasteful number, since it uses less digits than its factorization.

2717094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2717094240 is about 52125.7540952647. The cubic root of 2717094240 is about 1395.4091527323.

The spelling of 2717094240 in words is "two billion, seven hundred seventeen million, ninety-four thousand, two hundred forty".