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3032230032 = 2433133117417
BaseRepresentation
bin1011010010111100…
…0010100010010000
321211022200020122000
42310233002202100
522202222330112
61220515114000
7135066346536
oct26457024220
97738606560
103032230032
111316684337
127075a2900
1339428a570
1420a9d6156
1512b30d7dc
hexb4bc2890

3032230032 has 160 divisors (see below), whose sum is σ = 9676047360. Its totient is φ = 902845440.

The previous prime is 3032230027. The next prime is 3032230039. The reversal of 3032230032 is 2300322303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3032229987 and 3032230014.

It is not an unprimeable number, because it can be changed into a prime (3032230039) 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 31 ways as a sum of consecutive naturals, for example, 165388 + ... + 182804.

It is an arithmetic number, because the mean of its divisors is an integer number (60475296).

Almost surely, 23032230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3032230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838023680).

3032230032 is an abundant number, since it is smaller than the sum of its proper divisors (6643817328).

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

3032230032 is a wasteful number, since it uses less digits than its factorization.

3032230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17478 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3032230032 is about 55065.6883367492. The cubic root of 3032230032 is about 1447.3960450459.

Adding to 3032230032 its reverse (2300322303), we get a palindrome (5332552335).

The spelling of 3032230032 in words is "three billion, thirty-two million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 17417 19344 21762 29016 34834 43524 52251 58032 69668 87048 104502 139336 156753 174096 209004 226421 278672 313506 418008 452842 470259 539927 627012 679263 836016 905684 940518 1079854 1254024 1358526 1619781 1811368 1881036 2037789 2159708 2508048 2717052 3239562 3622736 3762072 4075578 4319416 4859343 5434104 6113367 6479124 7019051 7524144 8151156 8638832 9718686 10868208 12226734 12958248 14038102 14578029 16302312 19437372 21057153 24453468 25916496 28076204 29156058 32604624 38874744 42114306 48906936 56152408 58312116 63171459 77749488 84228612 97813872 112304816 116624232 126342918 168457224 189514377 233248464 252685836 336914448 379028754 505371672 758057508 1010743344 1516115016 3032230032