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385445424 = 243713791117
BaseRepresentation
bin10110111110010…
…110111000110000
3222212021122201110
4112332112320300
51242133223144
6102125233320
712360142410
oct2676267060
9885248643
10385445424
11188634941
12a9102840
1361b16920
1439296640
1523c8b0b9
hex16f96e30

385445424 has 160 divisors (see below), whose sum is σ = 1242142720. Its totient is φ = 100279296.

The previous prime is 385445393. The next prime is 385445441. The reversal of 385445424 is 424544583.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 344514 + ... + 345630.

It is an arithmetic number, because the mean of its divisors is an integer number (7763392).

Almost surely, 2385445424 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 385445424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621071360).

385445424 is an abundant number, since it is smaller than the sum of its proper divisors (856697296).

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

385445424 is a wasteful number, since it uses less digits than its factorization.

385445424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

The square root of 385445424 is about 19632.7640438121. The cubic root of 385445424 is about 727.7590777879.

The spelling of 385445424 in words is "three hundred eighty-five million, four hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 79 84 91 104 112 156 158 168 182 208 237 273 312 316 336 364 474 546 553 624 632 728 948 1027 1092 1106 1117 1264 1456 1659 1896 2054 2184 2212 2234 3081 3318 3351 3792 4108 4368 4424 4468 6162 6636 6702 7189 7819 8216 8848 8936 12324 13272 13404 14378 14521 15638 16432 17872 21567 23457 24648 26544 26808 28756 29042 31276 43134 43563 46914 49296 53616 57512 58084 62552 86268 87126 88243 93828 101647 115024 116168 125104 172536 174252 176486 187656 203294 232336 264729 304941 345072 348504 352972 375312 406588 529458 609882 617701 697008 705944 813176 1058916 1147159 1219764 1235402 1411888 1626352 1853103 2117832 2294318 2439528 2470804 3441477 3706206 4235664 4588636 4879056 4941608 6882954 7412412 8030113 9177272 9883216 13765908 14824824 16060226 18354544 24090339 27531816 29649648 32120452 48180678 55063632 64240904 96361356 128481808 192722712 385445424