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3340900512 = 253323891889
BaseRepresentation
bin1100011100100010…
…0001100010100000
322121211111022221000
43013020201202200
523320232304022
61311303032000
7145535120505
oct30710414240
98554438830
103340900512
111464940004
12792a3b600
13413202a11
142399c54ac
151484816ac
hexc72218a0

3340900512 has 192 divisors, whose sum is σ = 10287648000. Its totient is φ = 1052688384.

The previous prime is 3340900501. The next prime is 3340900531. The reversal of 3340900512 is 2150090433.

It is a super-2 number, since 2×33409005122 = 22323232462163724288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767664 + ... + 1769552.

It is an arithmetic number, because the mean of its divisors is an integer number (53581500).

Almost surely, 23340900512 is an apocalyptic number.

3340900512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143824000).

3340900512 is an abundant number, since it is smaller than the sum of its proper divisors (6946747488).

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

3340900512 is a wasteful number, since it uses less digits than its factorization.

3340900512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3340900512 is about 57800.5234578373. The cubic root of 3340900512 is about 1494.9311142258.

Adding to 3340900512 its reverse (2150090433), we get a palindrome (5490990945).

The spelling of 3340900512 in words is "three billion, three hundred forty million, nine hundred thousand, five hundred twelve".