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4243324344 = 233734991033
BaseRepresentation
bin1111110011101011…
…1111110110111000
3101221201120012200220
43330322333312320
532142242334334
61541021100040
7210103443000
oct37472776670
911851505626
104243324344
111888278426
129a50b7620
1352816770c
142c37b3000
1519c7db449
hexfcebfdb8

4243324344 has 128 divisors (see below), whose sum is σ = 12408000000. Its totient is φ = 1208777472.

The previous prime is 4243324343. The next prime is 4243324367. The reversal of 4243324344 is 4434233424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243324343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4107252 + ... + 4108284.

It is an arithmetic number, because the mean of its divisors is an integer number (96937500).

Almost surely, 24243324344 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 4243324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204000000).

4243324344 is an abundant number, since it is smaller than the sum of its proper divisors (8164675656).

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

4243324344 is a wasteful number, since it uses less digits than its factorization.

4243324344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 4243324344 is about 65140.8039864416. The cubic root of 4243324344 is about 1618.9573568313.

Adding to 4243324344 its reverse (4434233424), we get a palindrome (8677557768).

The spelling of 4243324344 in words is "four billion, two hundred forty-three million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 499 588 686 998 1029 1033 1176 1372 1497 1996 2058 2066 2744 2994 3099 3493 3992 4116 4132 5988 6198 6986 7231 8232 8264 10479 11976 12396 13972 14462 20958 21693 24451 24792 27944 28924 41916 43386 48902 50617 57848 73353 83832 86772 97804 101234 146706 151851 171157 173544 195608 202468 293412 303702 342314 354319 404936 513471 515467 586824 607404 684628 708638 1026942 1030934 1062957 1214808 1369256 1417276 1546401 2053884 2061868 2125914 2834552 3092802 3608269 4107768 4123736 4251828 6185604 7216538 8503656 10824807 12371208 14433076 21649614 25257883 28866152 43299228 50515766 75773649 86598456 101031532 151547298 176805181 202063064 303094596 353610362 530415543 606189192 707220724 1060831086 1414441448 2121662172 4243324344