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6422304 = 253719503
BaseRepresentation
bin11000011111111100100000
3110002021202010
4120133330200
53121003204
6345352520
7105405630
oct30377440
913067663
106422304
113697199
122198740
13143b2a5
14bd26c0
1586cd89
hex61ff20

6422304 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 1734912.

The previous prime is 6422293. The next prime is 6422333. The reversal of 6422304 is 4032246.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517 + ... + 13019.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 26422304 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 6422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

6422304 is an abundant number, since it is smaller than the sum of its proper divisors (13898976).

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

6422304 is a wasteful number, since it uses less digits than its factorization.

6422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6422304 is about 2534.2265092134. The cubic root of 6422304 is about 185.8789824423.

The spelling of 6422304 in words is "six million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 503 532 608 672 798 912 1006 1064 1509 1596 1824 2012 2128 3018 3192 3521 4024 4256 6036 6384 7042 8048 9557 10563 12072 12768 14084 16096 19114 21126 24144 28168 28671 38228 42252 48288 56336 57342 66899 76456 84504 112672 114684 133798 152912 169008 200697 229368 267596 305824 338016 401394 458736 535192 802788 917472 1070384 1605576 2140768 3211152 6422304