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385148268 = 223247227629
BaseRepresentation
bin10110111101001…
…110010101101100
3222211201120002200
4112331032111230
51242044221033
6102115021500
712354464151
oct2675162554
9884646080
10385148268
1118845165a
12a8b9a890
1361a415ab
143921a228
1523c2d013
hex16f4e56c

385148268 has 36 divisors (see below), whose sum is σ = 994287840. Its totient is φ = 125650656.

The previous prime is 385148213. The next prime is 385148273. The reversal of 385148268 is 862841583.

385148268 is a `hidden beast` number, since 385 + 1 + 4 + 8 + 268 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112123 + ... + 115506.

Almost surely, 2385148268 is an apocalyptic number.

It is an amenable number.

385148268 is an abundant number, since it is smaller than the sum of its proper divisors (609139572).

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

385148268 is a wasteful number, since it uses less digits than its factorization.

385148268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227686 (or 227681 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 385148268 is about 19625.1947251486. The cubic root of 385148268 is about 727.5720097354.

The spelling of 385148268 in words is "three hundred eighty-five million, one hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 227629 455258 682887 910516 1365774 2048661 2731548 4097322 8194644 10698563 21397126 32095689 42794252 64191378 96287067 128382756 192574134 385148268