[go: up one dir, main page]

Search a number
-
+
40384107 = 3297167277
BaseRepresentation
bin1001101000001…
…1011001101011
32210222201120200
42122003121223
540314242412
64001323243
71000154631
oct232033153
983881520
1040384107
11208831a5
1211636523
13849c62a
145513351
15382a9dc
hex268366b

40384107 has 24 divisors (see below), whose sum is σ = 59500896. Its totient is φ = 26390016.

The previous prime is 40384093. The next prime is 40384109. The reversal of 40384107 is 70148304.

40384107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40384107 - 28 = 40383851 is a prime.

It is a super-3 number, since 3×403841073 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40384109) 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 23 ways as a sum of consecutive naturals, for example, 145653 + ... + 145929.

It is an arithmetic number, because the mean of its divisors is an integer number (2479204).

Almost surely, 240384107 is an apocalyptic number.

40384107 is a deficient number, since it is larger than the sum of its proper divisors (19116789).

40384107 is a wasteful number, since it uses less digits than its factorization.

40384107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40384107 is about 6354.8490934089. The cubic root of 40384107 is about 343.0863934785.

The spelling of 40384107 in words is "forty million, three hundred eighty-four thousand, one hundred seven".

Divisors: 1 3 9 97 167 277 291 501 831 873 1503 2493 16199 26869 46259 48597 80607 138777 145791 241821 416331 4487123 13461369 40384107