Search a number
-
+
38319804 = 22341011171
BaseRepresentation
bin1001001000101…
…1011010111100
32200002211220000
42102023122330
534302213204
63445154300
7643466355
oct222133274
980084800
1038319804
111a6a3266
12109bb990
137c28b53
145136d2c
15356e039
hex248b6bc

38319804 has 60 divisors (see below), whose sum is σ = 101253768. Its totient is φ = 12636000.

The previous prime is 38319797. The next prime is 38319821. The reversal of 38319804 is 40891383.

38319804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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 19 ways as a sum of consecutive naturals, for example, 32139 + ... + 33309.

Almost surely, 238319804 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 38319804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50626884).

38319804 is an abundant number, since it is smaller than the sum of its proper divisors (62933964).

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

38319804 is a wasteful number, since it uses less digits than its factorization.

38319804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38319804 is about 6190.2991850152. The cubic root of 38319804 is about 337.1380415791.

The spelling of 38319804 in words is "thirty-eight million, three hundred nineteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1171 1212 1818 2342 2727 3513 3636 4684 5454 7026 8181 10539 10908 14052 16362 21078 31617 32724 42156 63234 94851 118271 126468 189702 236542 354813 379404 473084 709626 1064439 1419252 2128878 3193317 4257756 6386634 9579951 12773268 19159902 38319804