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386067240 = 233251382493
BaseRepresentation
bin10111000000101…
…110101100101000
3222220110020200200
4113000232230220
51242313122430
6102150432200
712365342316
oct2700565450
9886406620
10386067240
11188a1a039
12a9362660
1361ca3970
14393b90b6
1523d60460
hex1702eb28

386067240 has 96 divisors (see below), whose sum is σ = 1351251720. Its totient is φ = 95030784.

The previous prime is 386067223. The next prime is 386067247. The reversal of 386067240 is 42760683.

386067240 is a `hidden beast` number, since 3 + 8 + 606 + 7 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 264582756 = 11022^2 + 16266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 386067195 and 386067204.

It is not an unprimeable number, because it can be changed into a prime (386067247) 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 23 ways as a sum of consecutive naturals, for example, 36567 + ... + 45926.

Almost surely, 2386067240 is an apocalyptic number.

386067240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386067240 is an abundant number, since it is smaller than the sum of its proper divisors (965184480).

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

386067240 is a wasteful number, since it uses less digits than its factorization.

386067240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82523 (or 82516 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 386067240 is about 19648.5938428174. The cubic root of 386067240 is about 728.1502175625.

The spelling of 386067240 in words is "three hundred eighty-six million, sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 82493 164986 247479 329972 412465 494958 659944 742437 824930 989916 1072409 1237395 1484874 1649860 1979832 2144818 2474790 2969748 3217227 3299720 3712185 4289636 4949580 5362045 5939496 6434454 7424370 8579272 9651681 9899160 10724090 12868908 14848740 16086135 19303362 21448180 25737816 29697480 32172270 38606724 42896360 48258405 64344540 77213448 96516810 128689080 193033620 386067240