Search a number
-
+
38678328 = 23321331243
BaseRepresentation
bin1001001110001…
…0111100111000
32200210001200200
42103202330320
534400201303
63501002200
7646521543
oct223427470
980701620
1038678328
111a918667
1210b53360
1380230b0
1451cb85a
1535e03a3
hex24e2f38

38678328 has 144 divisors (see below), whose sum is σ = 119279160. Its totient is φ = 11249280.

The previous prime is 38678317. The next prime is 38678333. The reversal of 38678328 is 82387683.

38678328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899475 + ... + 899517.

Almost surely, 238678328 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 38678328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59639580).

38678328 is an abundant number, since it is smaller than the sum of its proper divisors (80600832).

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

38678328 is a wasteful number, since it uses less digits than its factorization.

38678328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38678328 is about 6219.1903009958. The cubic root of 38678328 is about 338.1862120641.

The spelling of 38678328 in words is "thirty-eight million, six hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 43 52 62 72 78 86 93 104 117 124 129 156 172 186 234 248 258 279 312 344 372 387 403 468 516 558 559 744 774 806 936 961 1032 1116 1118 1209 1333 1548 1612 1677 1922 2232 2236 2418 2666 2883 3096 3224 3354 3627 3844 3999 4472 4836 5031 5332 5766 6708 7254 7688 7998 8649 9672 10062 10664 11532 11997 12493 13416 14508 15996 17298 17329 20124 23064 23994 24986 29016 31992 34596 34658 37479 40248 41323 47988 49972 51987 69192 69316 74958 82646 95976 99944 103974 112437 123969 138632 149916 155961 165292 207948 224874 247938 299832 311922 330584 371907 415896 449748 495876 537199 623844 743814 899496 991752 1074398 1247688 1487628 1611597 2148796 2975256 3223194 4297592 4834791 6446388 9669582 12892776 19339164 38678328