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385671424 = 2819372143
BaseRepresentation
bin10110111111001…
…110000100000000
3222212201010201211
4112333032010000
51242212441144
6102134135504
712362103325
oct2677160400
9885633654
10385671424
11188779716
12a91b1594
1361b95758
1439314b4c
1523cd3034
hex16fce100

385671424 has 72 divisors (see below), whose sum is σ = 832643840. Its totient is φ = 177666048.

The previous prime is 385671413. The next prime is 385671427. The reversal of 385671424 is 424176583.

It is not an unprimeable number, because it can be changed into a prime (385671427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 178897 + ... + 181039.

Almost surely, 2385671424 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 385671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416321920).

385671424 is an abundant number, since it is smaller than the sum of its proper divisors (446972416).

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

385671424 is a wasteful number, since it uses less digits than its factorization.

385671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2201 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 385671424 is about 19638.5188850891. The cubic root of 385671424 is about 727.9012867806.

The spelling of 385671424 in words is "three hundred eighty-five million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 592 608 703 1184 1216 1406 2143 2368 2432 2812 4286 4736 4864 5624 8572 9472 11248 17144 22496 34288 40717 44992 68576 79291 81434 89984 137152 158582 162868 179968 274304 317164 325736 548608 634328 651472 1268656 1302944 1506529 2537312 2605888 3013058 5074624 5211776 6026116 10149248 10423552 12052232 20298496 24104464 48208928 96417856 192835712 385671424