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385266384 = 24322675461
BaseRepresentation
bin10110111101101…
…011001011010000
3222211221120010100
4112331223023100
51242112011014
6102121332400
712355465416
oct2675531320
9884846110
10385266384
11188522378
12a9037100
1361a83299
143924b2b6
1523c53009
hex16f6b2d0

385266384 has 30 divisors (see below), whose sum is σ = 1078211186. Its totient is φ = 128422080.

The previous prime is 385266367. The next prime is 385266391. The reversal of 385266384 is 483662583.

It is a happy number.

385266384 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 6 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209438784 + 175827600 = 14472^2 + 13260^2 .

It is a super-3 number, since 3×3852663843 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1337587 + ... + 1337874.

Almost surely, 2385266384 is an apocalyptic number.

It is an amenable number.

385266384 is an abundant number, since it is smaller than the sum of its proper divisors (692944802).

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

385266384 is a wasteful number, since it uses less digits than its factorization.

385266384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675475 (or 2675466 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 385266384 is about 19628.2037894454. The cubic root of 385266384 is about 727.6463785946.

The spelling of 385266384 in words is "three hundred eighty-five million, two hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2675461 5350922 8026383 10701844 16052766 21403688 24079149 32105532 42807376 48158298 64211064 96316596 128422128 192633192 385266384