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443144916 = 223217724093
BaseRepresentation
bin11010011010011…
…101101011010100
31010212212002112200
4122122131223110
51401421114131
6111550044500
713660445454
oct3232355324
91125762480
10443144916
11208164375
121044a9730
1370a69736
1442bd5d64
1528d872e6
hex1a69dad4

443144916 has 36 divisors (see below), whose sum is σ = 1186065972. Its totient is φ = 139025664.

The previous prime is 443144909. The next prime is 443144917. The reversal of 443144916 is 619441344.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 379080900 + 64064016 = 19470^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443144917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361435 + ... + 362658.

It is an arithmetic number, because the mean of its divisors is an integer number (32946277).

Almost surely, 2443144916 is an apocalyptic number.

It is an amenable number.

443144916 is an abundant number, since it is smaller than the sum of its proper divisors (742921056).

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

443144916 is a wasteful number, since it uses less digits than its factorization.

443144916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724120 (or 724115 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 443144916 is about 21051.0074818285. The cubic root of 443144916 is about 762.3983078931.

The spelling of 443144916 in words is "four hundred forty-three million, one hundred forty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 724093 1448186 2172279 2896372 4344558 6516837 8689116 12309581 13033674 24619162 26067348 36928743 49238324 73857486 110786229 147714972 221572458 443144916