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31704660 = 223251317797
BaseRepresentation
bin111100011110…
…0011001010100
32012122202121200
41320330121110
531104022120
63051312500
7533325261
oct170743124
965582550
1031704660
11169951a9
12a74b730
136750b70
1442d4268
152bb3e90
hex1e3c654

31704660 has 144 divisors (see below), whose sum is σ = 109798416. Its totient is φ = 7335936.

The previous prime is 31704637. The next prime is 31704679. The reversal of 31704660 is 6640713.

It can be written as a sum of positive squares in 8 ways, for example, as 501264 + 31203396 = 708^2 + 5586^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39382 + ... + 40178.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 231704660 is an apocalyptic number.

31704660 is a gapful number since it is divisible by the number (30) 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 31704660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

31704660 is an abundant number, since it is smaller than the sum of its proper divisors (78093756).

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

31704660 is a wasteful number, since it uses less digits than its factorization.

31704660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31704660 is about 5630.6891230115. The cubic root of 31704660 is about 316.5004754304.

The spelling of 31704660 in words is "thirty-one million, seven hundred four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 797 884 1020 1105 1170 1326 1530 1594 1989 2210 2340 2391 2652 3060 3188 3315 3978 3985 4420 4782 6630 7173 7956 7970 9564 9945 10361 11955 13260 13549 14346 15940 19890 20722 23910 27098 28692 31083 35865 39780 40647 41444 47820 51805 54196 62166 67745 71730 81294 93249 103610 121941 124332 135490 143460 155415 162588 176137 186498 203235 207220 243882 270980 310830 352274 372996 406470 466245 487764 528411 609705 621660 704548 812940 880685 932490 1056822 1219410 1585233 1761370 1864980 2113644 2438820 2642055 3170466 3522740 5284110 6340932 7926165 10568220 15852330 31704660