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6310304 = 2571113197
BaseRepresentation
bin11000000100100110100000
3102212121002222
4120010212200
53103412204
6343130212
7104431250
oct30044640
912777088
106310304
113620030
122143968
1313cc310
14ba3960
15849abe
hex6049a0

6310304 has 96 divisors (see below), whose sum is σ = 16765056. Its totient is φ = 2257920.

The previous prime is 6310289. The next prime is 6310319. The reversal of 6310304 is 4030136.

6310304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6310289) and next prime (6310319).

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 15 ways as a sum of consecutive naturals, for example, 31934 + ... + 32130.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 26310304 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 6310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528).

6310304 is an abundant number, since it is smaller than the sum of its proper divisors (10454752).

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

6310304 is a wasteful number, since it uses less digits than its factorization.

6310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 6310304 is about 2512.0318469319. The cubic root of 6310304 is about 184.7921112554.

The spelling of 6310304 in words is "six million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 197 208 224 286 308 352 364 394 416 572 616 728 788 1001 1144 1232 1379 1456 1576 2002 2167 2288 2464 2561 2758 2912 3152 4004 4334 4576 5122 5516 6304 8008 8668 10244 11032 15169 16016 17336 17927 20488 22064 28171 30338 32032 34672 35854 40976 44128 56342 60676 69344 71708 81952 112684 121352 143416 197197 225368 242704 286832 394394 450736 485408 573664 788788 901472 1577576 3155152 6310304