3080 has 32 divisors (see below), whose sum is σ = 8640. Its totient is φ = 960.

The previous prime is 3079. The next prime is 3083. The reversal of 3080 is 803.

3080 = T_{29} + T_{30} + ... +
T_{34}.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a nialpdrome in base 5 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

2^{3080} is an apocalyptic number.

It is a pronic number, being equal to 55×56.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

3080 is an abundant number, since it is smaller than the sum of its proper divisors (5560).

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

3080 is a wasteful number, since it uses less digits than its factorization.

3080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3080 is about 55.4977477020. The cubic root of 3080 is about 14.5495726976.

Multiplying 3080 by its product of nonzero digits (24), we get a triangular number (73920 = T_{384}).

Adding to 3080 its reverse (803), we get a palindrome (3883).

The spelling of 3080 in words is "three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080

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