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386116065 = 3552341337
BaseRepresentation
bin10111000000111…
…010100111100001
3222220112201200000
4113000322213201
51242321203230
6102151450213
712365634546
oct2700724741
9886481600
10386116065
11188a52795
12a9386969
1361cbcc5a
14393ccbcd
1523d6eb60
hex1703a9e1

386116065 has 96 divisors (see below), whose sum is σ = 744097536. Its totient is φ = 191600640.

The previous prime is 386116057. The next prime is 386116099. The reversal of 386116065 is 560611683.

It is a happy number.

386116065 is a `hidden beast` number, since 38 + 6 + 11 + 606 + 5 = 666.

It is not a de Polignac number, because 386116065 - 23 = 386116057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145577 + ... + 1145913.

It is an arithmetic number, because the mean of its divisors is an integer number (7751016).

Almost surely, 2386116065 is an apocalyptic number.

It is an amenable number.

386116065 is a deficient number, since it is larger than the sum of its proper divisors (357981471).

386116065 is a wasteful number, since it uses less digits than its factorization.

386116065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 386116065 is about 19649.8362588598. The cubic root of 386116065 is about 728.1809120738.

It can be divided in two parts, 3861160 and 65, that added together give a square (3861225 = 19652).

The spelling of 386116065 in words is "three hundred eighty-six million, one hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 9 15 23 27 41 45 69 81 115 123 135 205 207 243 337 345 369 405 615 621 943 1011 1035 1107 1215 1685 1845 1863 2829 3033 3105 3321 4715 5055 5535 5589 7751 8487 9099 9315 9963 13817 14145 15165 16605 23253 25461 27297 27945 38755 41451 42435 45495 49815 69085 69759 76383 81891 116265 124353 127305 136485 207255 209277 229149 317791 348795 373059 381915 409455 621765 627831 953373 1046385 1119177 1145745 1588955 1865295 1883493 2860119 3139155 3357531 4766865 5595885 8580357 9417465 14300595 16787655 25741071 42901785 77223213 128705355 386116065