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71347104 = 25322310771
BaseRepresentation
bin1000100000010…
…10101110100000
311222020210211100
410100022232200
5121231101404
611025114400
71524304023
oct420125640
9158223740
1071347104
1137301154
121ba88a00
1311a20a2a
1496931ba
1563e4d39
hex440aba0

71347104 has 72 divisors (see below), whose sum is σ = 211734432. Its totient is φ = 22746240.

The previous prime is 71347099. The next prime is 71347141. The reversal of 71347104 is 40174317.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239 + ... + 12009.

It is an arithmetic number, because the mean of its divisors is an integer number (2940756).

Almost surely, 271347104 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 71347104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105867216).

71347104 is an abundant number, since it is smaller than the sum of its proper divisors (140387328).

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

71347104 is a wasteful number, since it uses less digits than its factorization.

71347104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10799 counting only the distinct ones).

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

The square root of 71347104 is about 8446.7214941657. The cubic root of 71347104 is about 414.7554643955.

The spelling of 71347104 in words is "seventy-one million, three hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 10771 21542 32313 43084 64626 86168 96939 129252 172336 193878 247733 258504 344672 387756 495466 517008 743199 775512 990932 1034016 1486398 1551024 1981864 2229597 2972796 3102048 3963728 4459194 5945592 7927456 8918388 11891184 17836776 23782368 35673552 71347104