Search a number
3078 = 23419
BaseRepresentation
bin110000000110
311020000
4300012
544303
622130
711655
oct6006
94200
103078
112349
121946
13152a
14119c
15da3
hexc06

3078 has 20 divisors (see below), whose sum is σ = 7260. Its totient is φ = 972.

The previous prime is 3067. The next prime is 3079. The reversal of 3078 is 8703.

3078 divided by its sum of digits (18) gives a palindrome (171).

Adding to 3078 its reverse (8703), we get a triangular number (11781 = T153).

Subtracting 3078 from its reverse (8703), we obtain a square (5625 = 752).

3078 is nontrivially palindromic in base 8.

3078 is an astonishing number since 3078 = 3 + ... + 78.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 9 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3079) by changing a digit.

3078 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (363).

23078 is an apocalyptic number.

3078 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630).

3078 is an abundant number, since it is smaller than the sum of its proper divisors (4182).

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

3078 is a wasteful number, since it uses less digits than its factorization.

3078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3078 is about 55.4797260267. The cubic root of 3078 is about 14.5464227575.

The spelling of 3078 in words is "three thousand, seventy-eight".