Search a number
-
+
387381366 = 2354119441
BaseRepresentation
bin10111000101101…
…111100001110110
3222222221000100000
4113011233201312
51243132200431
6102234532130
712412454511
oct2705574166
9888830300
10387381366
11189737399
12a9897046
1362343b58
143963bd78
152401e9e6
hex1716f876

387381366 has 48 divisors (see below), whose sum is σ = 891687888. Its totient is φ = 125971200.

The previous prime is 387381307. The next prime is 387381377. The reversal of 387381366 is 663183783.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10206 + ... + 29646.

It is an arithmetic number, because the mean of its divisors is an integer number (18576831).

Almost surely, 2387381366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387381366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445843944).

387381366 is an abundant number, since it is smaller than the sum of its proper divisors (504306522).

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

387381366 is a wasteful number, since it uses less digits than its factorization.

387381366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19499 (or 19487 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 387381366 is about 19682.0061477483. The cubic root of 387381366 is about 728.9754602317.

It can be divided in two parts, 38738 and 1366, that added together give a palindrome (40104).

The spelling of 387381366 in words is "three hundred eighty-seven million, three hundred eighty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 6642 9963 19441 19926 38882 58323 116646 174969 349938 524907 797081 1049814 1574721 1594162 2391243 3149442 4724163 4782486 7173729 9448326 14347458 21521187 43042374 64563561 129127122 193690683 387381366