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444542320 = 24567197421
BaseRepresentation
bin11010011111110…
…010110101110000
31010222111002102101
4122133302311300
51402300323240
6112040030144
714005355515
oct3237626560
91128432371
10444542320
11208a29252
12104a62354
13711387c1
144307b30c
152906139a
hex1a7f2d70

444542320 has 80 divisors (see below), whose sum is σ = 1056816288. Its totient is φ = 173859840.

The previous prime is 444542317. The next prime is 444542341. The reversal of 444542320 is 23245444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055710 + ... + 1056130.

Almost surely, 2444542320 is an apocalyptic number.

444542320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528408144).

444542320 is an abundant number, since it is smaller than the sum of its proper divisors (612273968).

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

444542320 is a wasteful number, since it uses less digits than its factorization.

444542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 444542320 is about 21084.1722626239. The cubic root of 444542320 is about 763.1988440284.

Adding to 444542320 its reverse (23245444), we get a palindrome (467787764).

The spelling of 444542320 in words is "four hundred forty-four million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 197 268 335 394 421 536 670 788 842 985 1072 1340 1576 1684 1970 2105 2680 3152 3368 3940 4210 5360 6736 7880 8420 13199 15760 16840 26398 28207 33680 52796 56414 65995 82937 105592 112828 131990 141035 165874 211184 225656 263980 282070 331748 414685 451312 527960 564140 663496 829370 1055920 1128280 1326992 1658740 2256560 3317480 5556779 6634960 11113558 22227116 27783895 44454232 55567790 88908464 111135580 222271160 444542320