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3680364040 = 23592009101
BaseRepresentation
bin1101101101011101…
…1110011000001000
3100111111020212100021
43123113132120020
530014133122130
61405110550224
7160126402213
oct33327363010
910444225307
103680364040
111619518a81
12868668374
1346863a102
1426cb0c77a
1516818837a
hexdb5de608

3680364040 has 16 divisors (see below), whose sum is σ = 8280819180. Its totient is φ = 1472145600.

The previous prime is 3680364029. The next prime is 3680364059. The reversal of 3680364040 is 404630863.

It can be written as a sum of positive squares in 2 ways, for example, as 3680363556 + 484 = 60666^2 + 22^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3680363987 and 3680364005.

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 3 ways as a sum of consecutive naturals, for example, 46004511 + ... + 46004590.

Almost surely, 23680364040 is an apocalyptic number.

It is an amenable number.

3680364040 is an abundant number, since it is smaller than the sum of its proper divisors (4600455140).

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

3680364040 is a wasteful number, since it uses less digits than its factorization.

3680364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92009112 (or 92009108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3680364040 is about 60666.0039890547. The cubic root of 3680364040 is about 1543.9394333585.

The spelling of 3680364040 in words is "three billion, six hundred eighty million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 92009101 184018202 368036404 460045505 736072808 920091010 1840182020 3680364040