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71342712 = 23327353401
BaseRepresentation
bin1000100000010…
…01101001111000
311222020120210200
410100021221320
5121230431322
611025042200
71524255150
oct420115170
9158216720
1071342712
11372a8921
121ba86360
1311a1ba2c
149691760
1563e38ac
hex4409a78

71342712 has 96 divisors (see below), whose sum is σ = 222000480. Its totient is φ = 20275200.

The previous prime is 71342699. The next prime is 71342729. The reversal of 71342712 is 21724317.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177712 + ... + 178112.

It is an arithmetic number, because the mean of its divisors is an integer number (2312505).

Almost surely, 271342712 is an apocalyptic number.

71342712 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 71342712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111000240).

71342712 is an abundant number, since it is smaller than the sum of its proper divisors (150657768).

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

71342712 is a wasteful number, since it uses less digits than its factorization.

71342712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 71342712 is about 8446.4615076374. The cubic root of 71342712 is about 414.7469536862.

The spelling of 71342712 in words is "seventy-one million, three hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 353 401 504 706 802 1059 1203 1412 1604 2118 2406 2471 2807 2824 3177 3208 3609 4236 4812 4942 5614 6354 7218 7413 8421 8472 9624 9884 11228 12708 14436 14826 16842 19768 22239 22456 25263 25416 28872 29652 33684 44478 50526 59304 67368 88956 101052 141553 177912 202104 283106 424659 566212 849318 990871 1132424 1273977 1698636 1981742 2547954 2972613 3397272 3963484 5095908 5945226 7926968 8917839 10191816 11890452 17835678 23780904 35671356 71342712