Search a number
-
+
2678328 = 233237199
BaseRepresentation
bin1010001101111000111000
312001001222100
422031320320
51141201303
6133223400
731523352
oct12157070
95031870
102678328
11156a2a4
12a91b60
1372a113
144da0d2
1537d8a3
hex28de38

2678328 has 24 divisors (see below), whose sum is σ = 7254000. Its totient is φ = 892752.

The previous prime is 2678323. The next prime is 2678329. The reversal of 2678328 is 8238762.

It is a happy number.

2678328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 211 + 66 + 7 + 83 + 312 + 221 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 2678292 and 2678301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678321) 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 5 ways as a sum of consecutive naturals, for example, 18528 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (302250).

22678328 is an apocalyptic number.

It is an amenable number.

2678328 is an abundant number, since it is smaller than the sum of its proper divisors (4575672).

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

2678328 is a wasteful number, since it uses less digits than its factorization.

2678328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37211 (or 37204 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2678328 is about 1636.5598064232. The cubic root of 2678328 is about 138.8740988577.

The spelling of 2678328 in words is "two million, six hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 37199 74398 111597 148796 223194 297592 334791 446388 669582 892776 1339164 2678328