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3340368420 = 22351731149709
BaseRepresentation
bin1100011100011001…
…1111101000100100
322121210111022000220
43013012133220210
523320113242140
61311243404340
7145530443304
oct30706375044
98553438026
103340368420
111464607264
127928236b0
1341307777c
142398c7604
151483c8bd0
hexc719fa24

3340368420 has 192 divisors, whose sum is σ = 10305792000. Its totient is φ = 804741120.

The previous prime is 3340368401. The next prime is 3340368431. The reversal of 3340368420 is 248630433.

3340368420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33403684202 = 22316122362666592800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4711026 + ... + 4711734.

It is an arithmetic number, because the mean of its divisors is an integer number (53676000).

Almost surely, 23340368420 is an apocalyptic number.

3340368420 is a gapful number since it is divisible by the number (30) 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 3340368420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152896000).

3340368420 is an abundant number, since it is smaller than the sum of its proper divisors (6965423580).

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

3340368420 is a wasteful number, since it uses less digits than its factorization.

3340368420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

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

The square root of 3340368420 is about 57795.9204442667. The cubic root of 3340368420 is about 1494.8517460918.

Adding to 3340368420 its reverse (248630433), we get a palindrome (3588998853).

The spelling of 3340368420 in words is "three billion, three hundred forty million, three hundred sixty-eight thousand, four hundred twenty".