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8442304 = 261373139
BaseRepresentation
bin100000001101…
…000111000000
3120212220122221
4200031013000
54130123204
6500540424
7131521063
oct40150700
916786587
108442304
114846912
1229b1714
131997860
14119a8da
15b1b654
hex80d1c0

8442304 has 56 divisors (see below), whose sum is σ = 18420080. Its totient is φ = 3815424.

The previous prime is 8442299. The next prime is 8442337. The reversal of 8442304 is 4032448.

8442304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60667 + ... + 60805.

It is an arithmetic number, because the mean of its divisors is an integer number (328930).

Almost surely, 28442304 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 8442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210040).

8442304 is an abundant number, since it is smaller than the sum of its proper divisors (9977776).

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

8442304 is a wasteful number, since it uses less digits than its factorization.

8442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 8442304 is about 2905.5643169615. The cubic root of 8442304 is about 203.6199511355.

The spelling of 8442304 in words is "eight million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 139 146 208 278 292 416 556 584 832 949 1112 1168 1807 1898 2224 2336 3614 3796 4448 4672 7228 7592 8896 10147 14456 15184 20294 28912 30368 40588 57824 60736 81176 115648 131911 162352 263822 324704 527644 649408 1055288 2110576 4221152 8442304