Search a number
-
+
71701344 = 253211131741
BaseRepresentation
bin1000100011000…
…01001101100000
311222220210202100
410101201031200
5121323420334
611040450400
71530310551
oct421411540
9158823670
1071701344
1137523310
1220019a00
1311b16040
149746328
156464c99
hex4461360

71701344 has 144 divisors (see below), whose sum is σ = 239685264. Its totient is φ = 20044800.

The previous prime is 71701313. The next prime is 71701351. The reversal of 71701344 is 44310717.

It is a tau number, because it is divible by the number of its divisors (144).

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, 40314 + ... + 42054.

It is an arithmetic number, because the mean of its divisors is an integer number (1664481).

Almost surely, 271701344 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 71701344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119842632).

71701344 is an abundant number, since it is smaller than the sum of its proper divisors (167983920).

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

71701344 is a wasteful number, since it uses less digits than its factorization.

71701344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1770 counting only the distinct ones).

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

The square root of 71701344 is about 8467.6646131032. The cubic root of 71701344 is about 415.4407549321.

The spelling of 71701344 in words is "seventy-one million, seven hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1741 1872 2288 2574 3168 3432 3482 3744 4576 5148 5223 6864 6964 10296 10446 13728 13928 15669 19151 20592 20892 22633 27856 31338 38302 41184 41784 45266 55712 57453 62676 67899 76604 83568 90532 114906 125352 135798 153208 167136 172359 181064 203697 229812 248963 250704 271596 306416 344718 362128 407394 459624 497926 501408 543192 612832 689436 724256 746889 814788 919248 995852 1086384 1378872 1493778 1629576 1838496 1991704 2172768 2240667 2757744 2987556 3259152 3983408 4481334 5515488 5975112 6518304 7966816 8962668 11950224 17925336 23900448 35850672 71701344