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71004312 = 23322353809
BaseRepresentation
bin1000011101101…
…11000010011000
311221121101121100
410032313002120
5121134114222
611013511400
71521345441
oct416670230
9157541540
1071004312
1137097655
121b942560
13119309b2
1496042c8
1563784ac
hex43b7098

71004312 has 96 divisors (see below), whose sum is σ = 204703200. Its totient is φ = 22184448.

The previous prime is 71004301. The next prime is 71004319. The reversal of 71004312 is 21340017.

It is a super-2 number, since 2×710043122 = 10083224645186688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71004319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87364 + ... + 88172.

It is an arithmetic number, because the mean of its divisors is an integer number (2132325).

Almost surely, 271004312 is an apocalyptic number.

71004312 is a gapful number since it is divisible by the number (72) 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 71004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102351600).

71004312 is an abundant number, since it is smaller than the sum of its proper divisors (133698888).

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

71004312 is a wasteful number, since it uses less digits than its factorization.

71004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71004312 is about 8426.4056394171. The cubic root of 71004312 is about 414.0901574985.

Adding to 71004312 its reverse (21340017), we get a palindrome (92344329).

The spelling of 71004312 in words is "seventy-one million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 636 809 828 954 1219 1272 1618 1656 1908 2427 2438 3236 3657 3816 4854 4876 6472 7281 7314 9708 9752 10971 14562 14628 18607 19416 21942 29124 29256 37214 42877 43884 55821 58248 74428 85754 87768 111642 128631 148856 167463 171508 223284 257262 334926 343016 385893 446568 514524 669852 771786 986171 1029048 1339704 1543572 1972342 2958513 3087144 3944684 5917026 7889368 8875539 11834052 17751078 23668104 35502156 71004312