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3680319 = 31964567
BaseRepresentation
bin1110000010100000111111
320220222110010
432002200333
51420232234
6210514303
743165536
oct16024077
96828403
103680319
112094095
121295993
139bb206
146bb31d
154ca6e9
hex38283f

3680319 has 8 divisors (see below), whose sum is σ = 5165440. Its totient is φ = 2324376.

The previous prime is 3680291. The next prime is 3680321. The reversal of 3680319 is 9130863.

3680319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3680319 - 29 = 3679807 is a prime.

It is a super-2 number, since 2×36803192 = 27089495883522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680399) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32227 + ... + 32340.

It is an arithmetic number, because the mean of its divisors is an integer number (645680).

Almost surely, 23680319 is an apocalyptic number.

3680319 is a deficient number, since it is larger than the sum of its proper divisors (1485121).

3680319 is a wasteful number, since it uses less digits than its factorization.

3680319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64589.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3680319 is about 1918.4157526459. The cubic root of 3680319 is about 154.3933135130.

The spelling of 3680319 in words is "three million, six hundred eighty thousand, three hundred nineteen".

Divisors: 1 3 19 57 64567 193701 1226773 3680319