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3243410440 = 235738091373
BaseRepresentation
bin1100000101010010…
…1000010000001000
322101001001022200121
43001110220100020
523120303113230
61253501313024
7143242351054
oct30124502010
98331038617
103243410440
1114149032a6
12766265774
133c8c5a79a
1422aa88c64
1513eb2577a
hexc1528408

3243410440 has 64 divisors (see below), whose sum is σ = 7412180400. Its totient is φ = 1277079552.

The previous prime is 3243410383. The next prime is 3243410441. The reversal of 3243410440 is 440143423.

It can be written as a sum of positive squares in 8 ways, for example, as 3016426084 + 226984356 = 54922^2 + 15066^2 .

It is a super-2 number, since 2×32434104402 = 21039422564601987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3243410441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361594 + ... + 2362966.

Almost surely, 23243410440 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 3243410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706090200).

3243410440 is an abundant number, since it is smaller than the sum of its proper divisors (4168769960).

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

3243410440 is a wasteful number, since it uses less digits than its factorization.

3243410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3243410440 is about 56950.9476655130. The cubic root of 3243410440 is about 1480.2462519393.

Adding to 3243410440 its reverse (440143423), we get a palindrome (3683553863).

The spelling of 3243410440 in words is "three billion, two hundred forty-three million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 809 1373 1460 1618 2746 2920 3236 4045 5492 6472 6865 8090 10984 13730 16180 27460 32360 54920 59057 100229 118114 200458 236228 295285 400916 472456 501145 590570 801832 1002290 1110757 1181140 2004580 2221514 2362280 4009160 4443028 5553785 8886056 11107570 22215140 44430280 81085261 162170522 324341044 405426305 648682088 810852610 1621705220 3243410440