Search a number
-
+
3001431363 = 37413485983
BaseRepresentation
bin1011001011100110…
…0011010101000011
321202011201111210120
42302321203111003
522121331300423
61213455031323
7134243513520
oct26271432503
97664644716
103001431363
111300258897
126b920b543
1338aa95bb8
1420689a147
15128777ee3
hexb2e63543

3001431363 has 16 divisors (see below), whose sum is σ = 4685162496. Its totient is φ = 1673271360.

The previous prime is 3001431359. The next prime is 3001431383. The reversal of 3001431363 is 3631341003.

3001431363 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3001431363 - 22 = 3001431359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001431353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742131 + ... + 1743852.

It is an arithmetic number, because the mean of its divisors is an integer number (292822656).

Almost surely, 23001431363 is an apocalyptic number.

3001431363 is a deficient number, since it is larger than the sum of its proper divisors (1683731133).

3001431363 is a wasteful number, since it uses less digits than its factorization.

3001431363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486034.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3001431363 is about 54785.3206890313. The cubic root of 3001431363 is about 1442.4789096895.

Adding to 3001431363 its reverse (3631341003), we get a palindrome (6632772366).

The spelling of 3001431363 in words is "three billion, one million, four hundred thirty-one thousand, three hundred sixty-three".

Divisors: 1 3 7 21 41 123 287 861 3485983 10457949 24401881 73205643 142925303 428775909 1000477121 3001431363