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2338806640 = 24529235083
BaseRepresentation
bin1000101101100111…
…0101101101110000
320000222212200120011
42023121311231300
514242213303030
61024024424304
7111646346152
oct21331655560
96028780504
102338806640
11aa0217055
12553318094
132b3711771
14182890ad2
15da4d9b2a
hex8b675b70

2338806640 has 20 divisors (see below), whose sum is σ = 5437725624. Its totient is φ = 935522624.

The previous prime is 2338806571. The next prime is 2338806647. The reversal of 2338806640 is 466088332.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2338806593 and 2338806602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338806647) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14617462 + ... + 14617621.

Almost surely, 22338806640 is an apocalyptic number.

2338806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2338806640 is an abundant number, since it is smaller than the sum of its proper divisors (3098918984).

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

2338806640 is a wasteful number, since it uses less digits than its factorization.

2338806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235096 (or 29235090 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 2338806640 is about 48361.2100758449. The cubic root of 2338806640 is about 1327.3886690031.

The spelling of 2338806640 in words is "two billion, three hundred thirty-eight million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29235083 58470166 116940332 146175415 233880664 292350830 467761328 584701660 1169403320 2338806640