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444230304 = 25376110837
BaseRepresentation
bin11010011110100…
…110101010100000
31010221220020102020
4122132212222200
51402210332204
6112025221440
714002616040
oct3236465240
91127806366
10444230304
11208835891
12104931880
137105978b
1442dd9720
1528eedbd9
hex1a7a6aa0

444230304 has 96 divisors (see below), whose sum is σ = 1354663296. Its totient is φ = 124830720.

The previous prime is 444230201. The next prime is 444230333. The reversal of 444230304 is 403032444.

It is a happy number.

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 (24).

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, 35574 + ... + 46410.

It is an arithmetic number, because the mean of its divisors is an integer number (14111076).

Almost surely, 2444230304 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 444230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677331648).

444230304 is an abundant number, since it is smaller than the sum of its proper divisors (910432992).

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

444230304 is a wasteful number, since it uses less digits than its factorization.

444230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 444230304 is about 21076.7716693046. The cubic root of 444230304 is about 763.0202438707.

Adding to 444230304 its reverse (403032444), we get a palindrome (847262748).

The spelling of 444230304 in words is "four hundred forty-four million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 10837 13664 20496 21674 32511 40992 43348 65022 75859 86696 130044 151718 173392 227577 260088 303436 346784 455154 520176 606872 661057 910308 1040352 1213744 1322114 1820616 1983171 2427488 2644228 3641232 3966342 4627399 5288456 7282464 7932684 9254798 10576912 13882197 15865368 18509596 21153824 27764394 31730736 37019192 55528788 63461472 74038384 111057576 148076768 222115152 444230304