Search a number
-
+
38104040 = 2351373277
BaseRepresentation
bin1001000101011…
…0101111101000
32122200212220202
42101112233220
534223312130
63440411332
7641610332
oct221265750
978625822
1038104040
111a566147
1210916b48
137b81890
1450bc452
15352a145
hex2456be8

38104040 has 32 divisors (see below), whose sum is σ = 92330280. Its totient is φ = 14068992.

The previous prime is 38104019. The next prime is 38104049. The reversal of 38104040 is 4040183.

38104040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16630084 + 21473956 = 4078^2 + 4634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (38104049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36119 + ... + 37158.

Almost surely, 238104040 is an apocalyptic number.

It is an amenable number.

38104040 is an abundant number, since it is smaller than the sum of its proper divisors (54226240).

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

38104040 is a wasteful number, since it uses less digits than its factorization.

38104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73301 (or 73297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 38104040 is about 6172.8469930819. The cubic root of 38104040 is about 336.5040855797.

The spelling of 38104040 in words is "thirty-eight million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 73277 146554 293108 366385 586216 732770 952601 1465540 1905202 2931080 3810404 4763005 7620808 9526010 19052020 38104040