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3243441024 = 273213720551
BaseRepresentation
bin1100000101010010…
…1111101110000000
322101001002212122100
43001110233232000
523120310103044
61253502110400
7143242536165
oct30124575600
98331085570
103243441024
11141492427a
1276627b400
133c8c6b695
1422aa9606c
1513eb2e869
hexc152fb80

3243441024 has 96 divisors (see below), whose sum is σ = 9401923440. Its totient is φ = 1073203200.

The previous prime is 3243441013. The next prime is 3243441029. The reversal of 3243441024 is 4201443423.

It is a happy number.

3243441024 is a `hidden beast` number, since 3 + 243 + 4 + 410 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243441029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147549 + ... + 168099.

Almost surely, 23243441024 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 3243441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700961720).

3243441024 is an abundant number, since it is smaller than the sum of its proper divisors (6158482416).

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

3243441024 is a wasteful number, since it uses less digits than its factorization.

3243441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20708 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3243441024 is about 56951.2161766542. The cubic root of 3243441024 is about 1480.2509046251.

Adding to 3243441024 its reverse (4201443423), we get a palindrome (7444884447).

The spelling of 3243441024 in words is "three billion, two hundred forty-three million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 1096 1152 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 20551 26304 39456 41102 52608 61653 78912 82204 123306 157824 164408 184959 246612 328816 369918 493224 657632 739836 986448 1315264 1479672 1972896 2630528 2815487 2959344 3945792 5630974 5918688 7891584 8446461 11261948 11837376 16892922 22523896 23674752 25339383 33785844 45047792 50678766 67571688 90095584 101357532 135143376 180191168 202715064 270286752 360382336 405430128 540573504 810860256 1081147008 1621720512 3243441024