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2628348 = 2232389107
BaseRepresentation
bin1010000001101011111100
311221112102020
422001223330
51133101343
6132200140
731224552
oct12015374
94845366
102628348
111535798
12a69050
13710448
144c5bd2
1536db83
hex281afc

2628348 has 48 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 820864.

The previous prime is 2628347. The next prime is 2628359. The reversal of 2628348 is 8438262.

2628348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628341) 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 15 ways as a sum of consecutive naturals, for example, 24511 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22628348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2628348 is an abundant number, since it is smaller than the sum of its proper divisors (3903492).

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

2628348 is a wasteful number, since it uses less digits than its factorization.

2628348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2628348 is about 1621.2180605952. The cubic root of 2628348 is about 138.0048307488.

The spelling of 2628348 in words is "two million, six hundred twenty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 107 138 178 214 267 276 321 356 428 534 642 1068 1284 2047 2461 4094 4922 6141 7383 8188 9523 9844 12282 14766 19046 24564 28569 29532 38092 57138 114276 219029 438058 657087 876116 1314174 2628348