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71317368 = 2333418053
BaseRepresentation
bin1000100000000…
…11011101111000
311222012022001000
410100003131320
5121224123433
611024325000
71524121233
oct420033570
9158168030
1071317368
1137290881
121ba73760
1311a10335
14968641a
1563db113
hex4403778

71317368 has 64 divisors (see below), whose sum is σ = 202960800. Its totient is φ = 23189760.

The previous prime is 71317343. The next prime is 71317369. The reversal of 71317368 is 86371317.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71317369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4830 + ... + 12882.

Almost surely, 271317368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71317368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101480400).

71317368 is an abundant number, since it is smaller than the sum of its proper divisors (131643432).

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

71317368 is a wasteful number, since it uses less digits than its factorization.

71317368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8099 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 71317368 is about 8444.9611011538. The cubic root of 71317368 is about 414.6978358836.

It can be divided in two parts, 713 and 17368, that added together give a palindrome (18081).

The spelling of 71317368 in words is "seventy-one million, three hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8053 8856 16106 24159 32212 48318 64424 72477 96636 144954 193272 217431 289908 330173 434862 579816 660346 869724 990519 1320692 1739448 1981038 2641384 2971557 3962076 5943114 7924152 8914671 11886228 17829342 23772456 35658684 71317368