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389634960 = 2435111311353
BaseRepresentation
bin10111001110010…
…101101110010000
31000011011111200110
4113032111232100
51244221304320
6102355121320
712440561661
oct2716255620
91004144613
10389634960
1118aa36570
12aa5a3240
1362952840
1439a67368
15243175e0
hex17395b90

389634960 has 160 divisors (see below), whose sum is σ = 1419159168. Its totient is φ = 87183360.

The previous prime is 389634953. The next prime is 389634977. The reversal of 389634960 is 69436983.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 28644 + ... + 39996.

Almost surely, 2389634960 is an apocalyptic number.

389634960 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 389634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709579584).

389634960 is an abundant number, since it is smaller than the sum of its proper divisors (1029524208).

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

389634960 is a wasteful number, since it uses less digits than its factorization.

389634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 389634960 is about 19739.1732349660. The cubic root of 389634960 is about 730.3863345688.

The spelling of 389634960 in words is "three hundred eighty-nine million, six hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11353 11440 17160 22706 34059 34320 45412 56765 68118 90824 113530 124883 136236 147589 170295 181648 227060 249766 272472 295178 340590 374649 442767 454120 499532 544944 590356 624415 681180 737945 749298 885534 908240 999064 1180712 1248830 1362360 1475890 1498596 1623479 1771068 1873245 1998128 2213835 2361424 2497660 2724720 2951780 2997192 3246958 3542136 3746490 4427670 4870437 4995320 5903560 5994384 6493916 7084272 7492980 8117395 8855340 9740874 9990640 11807120 12987832 14985960 16234790 17710680 19481748 24352185 25975664 29971920 32469580 35421360 38963496 48704370 64939160 77926992 97408740 129878320 194817480 389634960