Search a number
-
+
386996904 = 233272432551
BaseRepresentation
bin10111000100010…
…001101010101000
3222222012110221200
4113010101222220
51243032400104
6102222404200
712406263600
oct2704215250
9888173850
10386996904
111894a4558
12a9730660
136223ab68
143957bc00
1523e95b39
hex17111aa8

386996904 has 144 divisors (see below), whose sum is σ = 1248081120. Its totient is φ = 107956800.

The previous prime is 386996903. The next prime is 386996957. The reversal of 386996904 is 409699683.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (386996903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150429 + ... + 152979.

It is an arithmetic number, because the mean of its divisors is an integer number (8667230).

Almost surely, 2386996904 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 386996904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624040560).

386996904 is an abundant number, since it is smaller than the sum of its proper divisors (861084216).

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

386996904 is a wasteful number, since it uses less digits than its factorization.

386996904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 386996904 is about 19672.2368834863. The cubic root of 386996904 is about 728.7342198106.

The spelling of 386996904 in words is "three hundred eighty-six million, nine hundred ninety-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 774 882 903 1032 1176 1204 1548 1764 1806 2107 2408 2551 2709 3096 3528 3612 4214 5102 5418 6321 7224 7653 8428 10204 10836 12642 15306 16856 17857 18963 20408 21672 22959 25284 30612 35714 37926 45918 50568 53571 61224 71428 75852 91836 107142 109693 124999 142856 151704 160713 183672 214284 219386 249998 321426 329079 374997 428568 438772 499996 642852 658158 749994 767851 877544 987237 999992 1124991 1285704 1316316 1499988 1535702 1974474 2249982 2303553 2632632 2999976 3071404 3948948 4499964 4607106 5374957 6142808 6910659 7897896 8999928 9214212 10749914 13821318 16124871 18428424 21499828 27642636 32249742 42999656 48374613 55285272 64499484 96749226 128998968 193498452 386996904