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32030210340 = 2232517103310133
BaseRepresentation
bin11101110101001001…
…100011100100100100
310001200020111021101200
4131311021203210210
51011044213212330
622414154322500
72212511203302
oct356511434444
9101606437350
1032030210340
1112647245117
12625aa29430
133035b890ab
14179bd29272
15c76ea7a60
hex775263924

32030210340 has 144 divisors (see below), whose sum is σ = 102983248368. Its totient is φ = 8030380032.

The previous prime is 32030210309. The next prime is 32030210351. The reversal of 32030210340 is 4301203023.

32030210340 is a `hidden beast` number, since 3 + 20 + 302 + 1 + 0 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8415126756 + 23615083584 = 91734^2 + 153672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3155914 + ... + 3166046.

It is an arithmetic number, because the mean of its divisors is an integer number (715161447).

Almost surely, 232030210340 is an apocalyptic number.

32030210340 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 32030210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51491624184).

32030210340 is an abundant number, since it is smaller than the sum of its proper divisors (70953038028).

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

32030210340 is a wasteful number, since it uses less digits than its factorization.

32030210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32030210340 its reverse (4301203023), we get a palindrome (36331413363).

The spelling of 32030210340 in words is "thirty-two billion, thirty million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1033 1530 2066 3060 3099 4132 5165 6198 9297 10133 10330 12396 15495 17561 18594 20266 20660 30399 30990 35122 37188 40532 46485 50665 52683 60798 61980 70244 87805 91197 92970 101330 105366 121596 151995 158049 172261 175610 182394 185940 202660 210732 263415 303990 316098 344522 351220 364788 455985 516783 526830 607980 632196 689044 790245 861305 911970 1033566 1053660 1550349 1580490 1722610 1823940 2067132 2583915 3100698 3160980 3445220 5167830 6201396 7751745 10335660 10467389 15503490 20934778 31006980 31402167 41869556 52336945 62804334 94206501 104673890 125608668 157010835 177945613 188413002 209347780 314021670 355891226 376826004 471032505 533836839 628043340 711782452 889728065 942065010 1067673678 1601510517 1779456130 1884130020 2135347356 2669184195 3203021034 3558912260 5338368390 6406042068 8007552585 10676736780 16015105170 32030210340