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320741040 = 243517127619
BaseRepresentation
bin10011000111100…
…001111010110000
3211100112022222210
4103013201322300
51124102203130
651454332120
710643153034
oct2307417260
9740468883
10320741040
11155060544
128b4ba040
13515b05c9
14308521c4
151d2595b0
hex131e1eb0

320741040 has 160 divisors (see below), whose sum is σ = 1062789120. Its totient is φ = 79736832.

The previous prime is 320741039. The next prime is 320741059. The reversal of 320741040 is 40147023.

It is a junction number, because it is equal to n+sod(n) for n = 320740998 and 320741016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517851 + ... + 518469.

It is an arithmetic number, because the mean of its divisors is an integer number (6642432).

Almost surely, 2320741040 is an apocalyptic number.

320741040 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 320741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531394560).

320741040 is an abundant number, since it is smaller than the sum of its proper divisors (742048080).

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

320741040 is a wasteful number, since it uses less digits than its factorization.

320741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 320741040 is about 17909.2445401809. The cubic root of 320741040 is about 684.5179552080.

Adding to 320741040 its reverse (40147023), we get a palindrome (360888063).

The spelling of 320741040 in words is "three hundred twenty million, seven hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 127 136 170 204 240 254 255 272 340 381 408 508 510 619 635 680 762 816 1016 1020 1238 1270 1360 1524 1857 1905 2032 2040 2159 2476 2540 3048 3095 3714 3810 4080 4318 4952 5080 6096 6190 6477 7428 7620 8636 9285 9904 10160 10523 10795 12380 12954 14856 15240 17272 18570 21046 21590 24760 25908 29712 30480 31569 32385 34544 37140 42092 43180 49520 51816 52615 63138 64770 74280 78613 84184 86360 103632 105230 126276 129540 148560 157226 157845 168368 172720 210460 235839 252552 259080 314452 315690 393065 420920 471678 505104 518160 628904 631380 786130 841840 943356 1179195 1257808 1262760 1336421 1572260 1886712 2358390 2525520 2672842 3144520 3773424 4009263 4716780 5345684 6289040 6682105 8018526 9433560 10691368 13364210 16037052 18867120 20046315 21382736 26728420 32074104 40092630 53456840 64148208 80185260 106913680 160370520 320741040