Search a number
-
+
3243133014 = 23113143191193
BaseRepresentation
bin1100000101001110…
…0100100001010110
322101000112020010120
43001103210201112
523120220224024
61253451332410
7143240114202
oct30123444126
98330466116
103243133014
111414733920
12766151106
133c8b91424
1422aa15b02
1513eabd479
hexc14e4856

3243133014 has 128 divisors (see below), whose sum is σ = 7552106496. Its totient is φ = 919296000.

The previous prime is 3243133013. The next prime is 3243133021. The reversal of 3243133014 is 4103313423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243133013) 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 63 ways as a sum of consecutive naturals, for example, 16803702 + ... + 16803894.

It is an arithmetic number, because the mean of its divisors is an integer number (59000832).

Almost surely, 23243133014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243133014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776053248).

3243133014 is an abundant number, since it is smaller than the sum of its proper divisors (4308973482).

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

3243133014 is a wasteful number, since it uses less digits than its factorization.

3243133014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3243133014 is about 56948.5119559765. The cubic root of 3243133014 is about 1480.2040463131.

Adding to 3243133014 its reverse (4103313423), we get a palindrome (7346446437).

The spelling of 3243133014 in words is "three billion, two hundred forty-three million, one hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 186 191 193 258 341 382 386 473 573 579 682 946 1023 1146 1158 1333 1419 2046 2101 2123 2666 2838 3999 4202 4246 5921 5983 6303 6369 7998 8213 8299 11842 11966 12606 12738 14663 16426 16598 17763 17949 24639 24897 29326 35526 35898 36863 43989 49278 49794 65131 65813 73726 87978 90343 91289 110589 130262 131626 180686 182578 195393 197439 221178 254603 257269 271029 273867 390786 394878 405493 509206 514538 542058 547734 763809 771807 810986 1142753 1216479 1527618 1543614 1585109 2285506 2432958 2800633 2829959 3170218 3428259 4755327 5601266 5659918 6856518 8401899 8489877 9510654 12570283 16803798 16979754 17436199 25140566 34872398 37710849 49138379 52308597 75421698 98276758 104617194 147415137 294830274 540522169 1081044338 1621566507 3243133014