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328701360 = 243513137769
BaseRepresentation
bin10011100101111…
…001010110110000
3211220111202111110
4103211321112300
51133121420420
652341113320
711100626001
oct2345712660
9756452443
10328701360
111595a8219
12920b8840
1353139960
14319251a8
151dcccee0
hex139795b0

328701360 has 160 divisors (see below), whose sum is σ = 1106804160. Its totient is φ = 80216064.

The previous prime is 328701353. The next prime is 328701361. The reversal of 328701360 is 63107823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (328701361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427056 + ... + 427824.

It is an arithmetic number, because the mean of its divisors is an integer number (6917526).

Almost surely, 2328701360 is an apocalyptic number.

328701360 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 328701360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553402080).

328701360 is an abundant number, since it is smaller than the sum of its proper divisors (778102800).

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

328701360 is a wasteful number, since it uses less digits than its factorization.

328701360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 328701360 is about 18130.1230001343. The cubic root of 328701360 is about 690.1346513103.

The spelling of 328701360 in words is "three hundred twenty-eight million, seven hundred one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 137 156 195 208 240 260 274 312 390 411 520 548 624 685 769 780 822 1040 1096 1370 1538 1560 1644 1781 2055 2192 2307 2740 3076 3120 3288 3562 3845 4110 4614 5343 5480 6152 6576 7124 7690 8220 8905 9228 9997 10686 10960 11535 12304 14248 15380 16440 17810 18456 19994 21372 23070 26715 28496 29991 30760 32880 35620 36912 39988 42744 46140 49985 53430 59982 61520 71240 79976 85488 92280 99970 105353 106860 119964 142480 149955 159952 184560 199940 210706 213720 239928 299910 316059 399880 421412 427440 479856 526765 599820 632118 799760 842824 1053530 1199640 1264236 1369589 1580295 1685648 2107060 2399280 2528472 2739178 3160590 4108767 4214120 5056944 5478356 6321180 6847945 8217534 8428240 10956712 12642360 13695890 16435068 20543835 21913424 25284720 27391780 32870136 41087670 54783560 65740272 82175340 109567120 164350680 328701360