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2678304 = 253231213
BaseRepresentation
bin1010001101111000100000
312001001221110
422031320200
51141201204
6133223320
731523316
oct12157040
95031843
102678304
11156a282
12a91b40
1372a0c5
144da0b6
1537d889
hex28de20

2678304 has 48 divisors (see below), whose sum is σ = 7342272. Its totient is φ = 853248.

The previous prime is 2678251. The next prime is 2678311. The reversal of 2678304 is 4038762.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 221 + 63 + 73 + 85 + 312 + 0 + 47 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602 + ... + 2814.

It is an arithmetic number, because the mean of its divisors is an integer number (152964).

22678304 is an apocalyptic number.

2678304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671136).

2678304 is an abundant number, since it is smaller than the sum of its proper divisors (4663968).

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

2678304 is a wasteful number, since it uses less digits than its factorization.

2678304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2678304 is about 1636.5524739525. The cubic root of 2678304 is about 138.8736840481.

The spelling of 2678304 in words is "two million, six hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1213 2208 2426 3639 4852 7278 9704 14556 19408 27899 29112 38816 55798 58224 83697 111596 116448 167394 223192 334788 446384 669576 892768 1339152 2678304