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247488340 = 225111995653
BaseRepresentation
bin11101100000001…
…01111101010100
3122020200201011211
432300011331110
51001324111330
640320311204
76063421231
oct1660057524
9566621154
10247488340
11117778720
126aa72504
133c373408
1424c24788
1516ad9d2a
hexec05f54

247488340 has 48 divisors (see below), whose sum is σ = 569923200. Its totient is φ = 89527680.

The previous prime is 247488337. The next prime is 247488343. The reversal of 247488340 is 43884742.

247488340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (247488337) and next prime (247488343).

It is a super-2 number, since 2×2474883402 = 122500956871911200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247488293 and 247488302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247488343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40954 + ... + 46606.

It is an arithmetic number, because the mean of its divisors is an integer number (11873400).

Almost surely, 2247488340 is an apocalyptic number.

247488340 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 247488340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284961600).

247488340 is an abundant number, since it is smaller than the sum of its proper divisors (322434860).

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

247488340 is a wasteful number, since it uses less digits than its factorization.

247488340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 247488340 is about 15731.7621390612. The cubic root of 247488340 is about 627.8437580399.

The spelling of 247488340 in words is "two hundred forty-seven million, four hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 5653 8756 10945 11306 21890 22612 28265 43780 56530 62183 113060 124366 248732 310915 621830 1124947 1243660 2249894 4499788 5624735 11249470 12374417 22498940 24748834 49497668 61872085 123744170 247488340