Search a number
-
+
38348020 = 2251979733
BaseRepresentation
bin1001001001001…
…0010011110100
32200011021121001
42102102103310
534304114040
63445533044
7643644544
oct222222364
980137531
1038348020
111a712487
1210a14184
137c38949
145143324
15357759a
hex24924f4

38348020 has 24 divisors (see below), whose sum is σ = 80947944. Its totient is φ = 15259776.

The previous prime is 38348003. The next prime is 38348029. The reversal of 38348020 is 2084383.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 16613776 = 4662^2 + 4076^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38348020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38348029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 8806.

It is an arithmetic number, because the mean of its divisors is an integer number (3372831).

Almost surely, 238348020 is an apocalyptic number.

It is an amenable number.

38348020 is an abundant number, since it is smaller than the sum of its proper divisors (42599924).

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

38348020 is a wasteful number, since it uses less digits than its factorization.

38348020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38348020 is about 6192.5778154174. The cubic root of 38348020 is about 337.2207694997.

The spelling of 38348020 in words is "thirty-eight million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 9733 19466 38932 48665 97330 194660 1917401 3834802 7669604 9587005 19174010 38348020