Search a number
-
+
1353340233 = 327175712213
BaseRepresentation
bin101000010101010…
…0101010101001001
310111022112210210100
41100222211111021
510232423341413
6342142440013
745352126230
oct12052452511
93438483710
101353340233
11634a1a603
12319293009
131874c284b
14cba47b17
157dc29a73
hex50aa5549

1353340233 has 48 divisors (see below), whose sum is σ = 2370715776. Its totient is φ = 726243840.

The previous prime is 1353340223. The next prime is 1353340237. The reversal of 1353340233 is 3320433531.

It is a happy number.

It is not a de Polignac number, because 1353340233 - 210 = 1353339209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1353340197 and 1353340206.

It is not an unprimeable number, because it can be changed into a prime (1353340237) 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 47 ways as a sum of consecutive naturals, for example, 610435 + ... + 612647.

It is an arithmetic number, because the mean of its divisors is an integer number (49389912).

Almost surely, 21353340233 is an apocalyptic number.

It is an amenable number.

1353340233 is a deficient number, since it is larger than the sum of its proper divisors (1017375543).

1353340233 is a wasteful number, since it uses less digits than its factorization.

1353340233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 1353340233 is about 36787.7728736057. The cubic root of 1353340233 is about 1106.1202191140.

Adding to 1353340233 its reverse (3320433531), we get a palindrome (4673773764).

The spelling of 1353340233 in words is "one billion, three hundred fifty-three million, three hundred forty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 571 1071 1713 2213 3997 5139 6639 9707 11991 15491 19917 29121 35973 37621 46473 67949 87363 112863 139419 203847 263347 338589 611541 790041 1263623 2370123 3790869 8845361 11372607 21481591 26536083 64444773 79608249 150371137 193334319 451113411 1353340233