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3340448896 = 2731712167
BaseRepresentation
bin1100011100011011…
…0011010010000000
322121210122101102111
43013012303102000
523320123331041
61311245225104
7145531230031
oct30706632200
98553571374
103340448896
111464661774
12792862194
134130a52a5
14239908a88
151483e2981
hexc71b3480

3340448896 has 96 divisors (see below), whose sum is σ = 7009309440. Its totient is φ = 1584038400.

The previous prime is 3340448879. The next prime is 3340448899. The reversal of 3340448896 is 6988440433.

It is a super-2 number, since 2×33404488962 = 22317197653575237632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340448899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20002605 + ... + 20002771.

It is an arithmetic number, because the mean of its divisors is an integer number (73013640).

Almost surely, 23340448896 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 3340448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504654720).

3340448896 is an abundant number, since it is smaller than the sum of its proper divisors (3668860544).

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

3340448896 is an equidigital number, since it uses as much as digits as its factorization.

3340448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The square root of 3340448896 is about 57796.6166483818. The cubic root of 3340448896 is about 1494.8637506282.

The spelling of 3340448896 in words is "three billion, three hundred forty million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 167 248 284 334 496 568 668 992 1136 1336 1984 2201 2272 2672 3968 4402 4544 5041 5177 5344 8804 9088 10082 10354 10688 11857 17608 20164 20708 21376 23714 35216 40328 41416 47428 70432 80656 82832 94856 140864 156271 161312 165664 189712 281728 312542 322624 331328 367567 379424 625084 645248 662656 735134 758848 841847 1250168 1470268 1517696 1683694 2500336 2940536 3367388 5000672 5881072 6734776 10001344 11762144 13469552 20002688 23524288 26097257 26939104 47048576 52194514 53878208 104389028 107756416 208778056 417556112 835112224 1670224448 3340448896