Search a number
-
+
3040132293 = 3211431913739
BaseRepresentation
bin1011010100110100…
…1011110011000101
321211212112201111100
42311031023303011
522211233213133
61221400330313
7135223461312
oct26515136305
97755481440
103040132293
111320091430
1270a173999
13395ac6363
1420ba91d09
1512bd6ee13
hexb534bcc5

3040132293 has 48 divisors (see below), whose sum is σ = 4928901120. Its totient is φ = 1789754400.

The previous prime is 3040132279. The next prime is 3040132301. The reversal of 3040132293 is 3922310403.

It is a happy number.

3040132293 is a `hidden beast` number, since 30 + 401 + 3 + 229 + 3 = 666.

It is not a de Polignac number, because 3040132293 - 25 = 3040132261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040139293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811218 + ... + 814956.

It is an arithmetic number, because the mean of its divisors is an integer number (102685440).

Almost surely, 23040132293 is an apocalyptic number.

3040132293 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3040132293 is a deficient number, since it is larger than the sum of its proper divisors (1888768827).

3040132293 is a wasteful number, since it uses less digits than its factorization.

3040132293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3040132293 is about 55137.3946881787. The cubic root of 3040132293 is about 1448.6523019558.

Adding to 3040132293 its reverse (3922310403), we get a palindrome (6962442696).

The spelling of 3040132293 in words is "three billion, forty million, one hundred thirty-two thousand, two hundred ninety-three".

Divisors: 1 3 9 11 33 43 99 129 191 387 473 573 1419 1719 2101 3739 4257 6303 8213 11217 18909 24639 33651 41129 73917 90343 123387 160777 271029 370161 482331 714149 813087 1446993 1768547 2142447 5305641 6427341 7855639 15916923 23566917 30708407 70700751 92125221 276375663 337792477 1013377431 3040132293