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34075580 = 225721129109
BaseRepresentation
bin1000000111111…
…1001110111100
32101010012220112
42001333032330
532210404310
63214205152
7562431500
oct201771674
971105815
1034075580
1118264540
12b4b37b8
1370a1086
144750300
152ed1705
hex207f3bc

34075580 has 144 divisors (see below), whose sum is σ = 94802400. Its totient is φ = 10160640.

The previous prime is 34075579. The next prime is 34075663. The reversal of 34075580 is 8557043.

It is a happy number.

It is a super-2 number, since 2×340755802 = 2322290304672800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312566 + ... + 312674.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 234075580 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 34075580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401200).

34075580 is an abundant number, since it is smaller than the sum of its proper divisors (60726820).

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

34075580 is a wasteful number, since it uses less digits than its factorization.

34075580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 34075580 is about 5837.4292286931. The cubic root of 34075580 is about 324.2010513579.

The spelling of 34075580 in words is "thirty-four million, seventy-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 49 55 58 70 77 98 109 110 116 140 145 154 196 203 218 220 245 290 308 319 385 406 436 490 539 545 580 638 763 770 812 980 1015 1078 1090 1199 1276 1421 1526 1540 1595 2030 2156 2180 2233 2398 2695 2842 3052 3161 3190 3815 4060 4466 4796 5341 5390 5684 5995 6322 6380 7105 7630 8393 8932 10682 10780 11165 11990 12644 14210 15260 15631 15805 16786 21364 22127 22330 23980 26705 28420 31262 31610 33572 34771 41965 44254 44660 53410 58751 62524 63220 69542 78155 83930 88508 106820 110635 117502 139084 154889 156310 167860 173855 221270 235004 243397 293755 309778 312620 347710 442540 486794 587510 619556 695420 774445 973588 1175020 1216985 1548890 1703779 2433970 3097780 3407558 4867940 6815116 8518895 17037790 34075580