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443990016 = 214323011
BaseRepresentation
bin11010011101101…
…100000000000000
31010221110000210200
4122131230000000
51402130140031
6112020125200
714000565351
oct3235540000
91127400720
10443990016
112086912a8
12104836800
1370ca42b2
1442d75d28
1528ea28e6
hex1a76c000

443990016 has 90 divisors (see below), whose sum is σ = 1283024652. Its totient is φ = 147947520.

The previous prime is 443989993. The next prime is 443990021. The reversal of 443990016 is 610099344.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145951 + ... + 148961.

Almost surely, 2443990016 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 443990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641512326).

443990016 is an abundant number, since it is smaller than the sum of its proper divisors (839034636).

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

443990016 is an equidigital number, since it uses as much as digits as its factorization.

443990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 443990016 is about 21071.0705945379. The cubic root of 443990016 is about 762.8826443162.

The spelling of 443990016 in words is "four hundred forty-three million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3011 3072 4096 4608 6022 6144 8192 9033 9216 12044 12288 16384 18066 18432 24088 24576 27099 36132 36864 48176 49152 54198 72264 73728 96352 108396 144528 147456 192704 216792 289056 385408 433584 578112 770816 867168 1156224 1541632 1734336 2312448 3083264 3468672 4624896 6166528 6937344 9249792 12333056 13874688 18499584 24666112 27749376 36999168 49332224 55498752 73998336 110997504 147996672 221995008 443990016