Search a number
-
+
3340851696 = 2433713174999
BaseRepresentation
bin1100011100100001…
…0101100111110000
322121211101211222000
43013020111213300
523320224223241
61311302014000
7145534525260
oct30710254760
98554354860
103340851696
111464907366
12792a17300
134131b6730
142399b17a0
15148471eb6
hexc72159f0

3340851696 has 320 divisors, whose sum is σ = 12499200000. Its totient is φ = 829108224.

The previous prime is 3340851673. The next prime is 3340851727. The reversal of 3340851696 is 6961580433.

3340851696 is a `hidden beast` number, since 3 + 3 + 40 + 8 + 516 + 96 = 666.

It is a super-2 number, since 2×33408516962 = 22322580109332152832, which contains 22 as substring.

It is a congruent number.

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, 665805 + ... + 670803.

It is an arithmetic number, because the mean of its divisors is an integer number (39060000).

Almost surely, 23340851696 is an apocalyptic number.

3340851696 is a gapful number since it is divisible by the number (36) 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 3340851696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600000).

3340851696 is an abundant number, since it is smaller than the sum of its proper divisors (9158348304).

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

3340851696 is a wasteful number, since it uses less digits than its factorization.

3340851696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3340851696 is about 57800.1011763820. The cubic root of 3340851696 is about 1494.9238330639.

The spelling of 3340851696 in words is "three billion, three hundred forty million, eight hundred fifty-one thousand, six hundred ninety-six".