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386864208 = 24333072917
BaseRepresentation
bin10111000011110…
…001010001010000
3222221221201221000
4113003301101100
51243014123313
6102215502000
712405201663
oct2703612120
9887851830
10386864208
11189413895
12a9687900
13621c2643
14395456da
1523e6b673
hex170f1450

386864208 has 80 divisors (see below), whose sum is σ = 1114442560. Its totient is φ = 128490624.

The previous prime is 386864183. The next prime is 386864213. The reversal of 386864208 is 802468683.

It is a happy number.

386864208 is a `hidden beast` number, since 386 + 8 + 64 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131166 + ... + 134082.

It is an arithmetic number, because the mean of its divisors is an integer number (13930532).

Almost surely, 2386864208 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 386864208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557221280).

386864208 is an abundant number, since it is smaller than the sum of its proper divisors (727578352).

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

386864208 is a wasteful number, since it uses less digits than its factorization.

386864208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 386864208 is about 19668.8639224537. The cubic root of 386864208 is about 728.6509192557.

The spelling of 386864208 in words is "three hundred eighty-six million, eight hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 2917 3684 4912 5526 5834 7368 8289 8751 11052 11668 14736 16578 17502 22104 23336 26253 33156 35004 44208 46672 52506 66312 70008 78759 105012 132624 140016 157518 210024 315036 420048 630072 895519 1260144 1791038 2686557 3582076 5373114 7164152 8059671 10746228 14328304 16119342 21492456 24179013 32238684 42984912 48358026 64477368 96716052 128954736 193432104 386864208