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3323042336 = 25538532297
BaseRepresentation
bin1100011000010001…
…1001101000100000
322120120220001010002
43012010121220200
523301144323321
61305424155132
7145230252035
oct30604315040
98516801102
103323042336
111455852989
12788a68aa8
1340c5bc453
1423749738c
15146b0520b
hexc6119a20

3323042336 has 48 divisors (see below), whose sum is σ = 6676397784. Its totient is φ = 1627551744.

The previous prime is 3323042329. The next prime is 3323042339. The reversal of 3323042336 is 6332403233.

It can be written as a sum of positive squares in 4 ways, for example, as 2371690000 + 951352336 = 48700^2 + 30844^2 .

It is a super-4 number, since 4×33230423364 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3323042299 and 3323042308.

It is not an unprimeable number, because it can be changed into a prime (3323042339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445540 + ... + 1447836.

Almost surely, 23323042336 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 3323042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338198892).

3323042336 is an abundant number, since it is smaller than the sum of its proper divisors (3353355448).

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

3323042336 is a wasteful number, since it uses less digits than its factorization.

3323042336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

The square root of 3323042336 is about 57645.8353742922. The cubic root of 3323042336 is about 1492.2627266519.

Adding to 3323042336 its reverse (6332403233), we get a palindrome (9655445569).

The spelling of 3323042336 in words is "three billion, three hundred twenty-three million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 853 1696 1706 2297 3412 4594 6824 9188 13648 18376 27296 36752 45209 73504 90418 121741 180836 243482 361672 486964 723344 973928 1446688 1947856 1959341 3895712 3918682 7837364 15674728 31349456 62698912 103845073 207690146 415380292 830760584 1661521168 3323042336