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328041104720 = 24573142174481
BaseRepresentation
bin1001100011000001100…
…01100000010101010000
31011100201202012201222012
410301200301200111100
520333312010322340
6410411111202052
732462110245260
oct4614061402520
91140652181865
10328041104720
1111713771930a
12536b0376328
1324c1b40bc74
1411c3d3517a0
1587ee344565
hex4c60c60550

328041104720 has 160 divisors (see below), whose sum is σ = 900184098816. Its totient is φ = 108793036800.

The previous prime is 328041104687. The next prime is 328041104737. The reversal of 328041104720 is 27401140823.

It is a super-2 number, since 2×3280411047202 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 73204880 + ... + 73209360.

Almost surely, 2328041104720 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 328041104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450092049408).

328041104720 is an abundant number, since it is smaller than the sum of its proper divisors (572142994096).

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

328041104720 is a wasteful number, since it uses less digits than its factorization.

328041104720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 328041104720 in words is "three hundred twenty-eight billion, forty-one million, one hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4217 4340 4481 8434 8680 8962 16868 17360 17924 21085 22405 29519 31367 33736 35848 42170 44810 59038 62734 67472 71696 84340 89620 118076 125468 130727 138911 147595 156835 168680 179240 236152 250936 261454 277822 295190 313670 337360 358480 472304 501872 522908 555644 590380 627340 653635 694555 915089 972377 1045816 1111288 1180760 1254680 1307270 1389110 1830178 1944754 2091632 2222576 2361520 2509360 2614540 2778220 3660356 3889508 4575445 4861885 5229080 5556440 7320712 7779016 9150890 9723770 10458160 11112880 14641424 15558032 18301780 18896377 19447540 36603560 37792754 38895080 73207120 75585508 77790160 94481885 132274639 151171016 188963770 264549278 302342032 377927540 529098556 585787687 661373195 755855080 1058197112 1171575374 1322746390 1511710160 2116394224 2343150748 2645492780 2928938435 4100513809 4686301496 5290985560 5857876870 8201027618 9372602992 10581971120 11715753740 16402055236 20502569045 23431507480 32804110472 41005138090 46863014960 65608220944 82010276180 164020552360 328041104720