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3342410600064 = 27347891817539
BaseRepresentation
bin110000101000110111001…
…100100100111010000000
3102211112100100020000022120
4300220313030210322000
5414230224103200224
611035252055004240
7463324023222654
oct60506714447200
912745310200276
103342410600064
111079565713578
1245b946669680
131b3259c6b723
14b7ab8824a64
155be25356779
hex30a37324e80

3342410600064 has 64 divisors (see below), whose sum is σ = 8880136932000. Its totient is φ = 1113903608832.

The previous prime is 3342410600059. The next prime is 3342410600071. The reversal of 3342410600064 is 4600060142433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33424106000642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342410599998 and 3342410600034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930207 + ... + 2747745.

Almost surely, 23342410600064 is an apocalyptic number.

It is an amenable number.

3342410600064 is an abundant number, since it is smaller than the sum of its proper divisors (5537726331936).

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

3342410600064 is a wasteful number, since it uses less digits than its factorization.

3342410600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822345 (or 1822333 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 3342410600064 its reverse (4600060142433), we get a palindrome (7942470742497).

The spelling of 3342410600064 in words is "three trillion, three hundred forty-two billion, four hundred ten million, six hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4789 9578 14367 19156 28734 38312 57468 76624 114936 153248 229872 306496 459744 612992 919488 1817539 1838976 3635078 5452617 7270156 10905234 14540312 21810468 29080624 43620936 58161248 87241872 116322496 174483744 232644992 348967488 697934976 8704194271 17408388542 26112582813 34816777084 52225165626 69633554168 104450331252 139267108336 208900662504 278534216672 417801325008 557068433344 835602650016 1114136866688 1671205300032 3342410600064