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3243243040 = 2552412349
BaseRepresentation
bin1100000101001111…
…1111011000100000
322101000201211001121
43001103333120200
523120232234130
61253453542024
7143241053032
oct30123773040
98330654047
103243243040
1114147a9554
127661a4914
133c8bcc52b
1422aa43c52
1513eae0d7a
hexc14ff620

3243243040 has 72 divisors (see below), whose sum is σ = 7716132900. Its totient is φ = 1288212480.

The previous prime is 3243243001. The next prime is 3243243061. The reversal of 3243243040 is 403423423.

It can be written as a sum of positive squares in 6 ways, for example, as 2576983696 + 666259344 = 50764^2 + 25812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3243242996 and 3243243014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9292786 + ... + 9293134.

Almost surely, 23243243040 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 3243243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858066450).

3243243040 is an abundant number, since it is smaller than the sum of its proper divisors (4472889860).

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

3243243040 is an equidigital number, since it uses as much as digits as its factorization.

3243243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3243243040 is about 56949.4779607329. The cubic root of 3243243040 is about 1480.2207851772.

Adding to 3243243040 its reverse (403423423), we get a palindrome (3646666463).

The spelling of 3243243040 in words is "three billion, two hundred forty-three million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 349 482 698 964 1205 1396 1745 1928 2410 2792 3490 3856 4820 5584 6980 7712 9640 11168 13960 19280 27920 38560 55840 58081 84109 116162 168218 232324 290405 336436 420545 464648 580810 672872 841090 929296 1161620 1345744 1682180 1858592 2323240 2691488 3364360 4646480 6728720 9292960 13457440 20270269 40540538 81081076 101351345 162162152 202702690 324324304 405405380 648648608 810810760 1621621520 3243243040