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444313332 = 223273169069
BaseRepresentation
bin11010011110111…
…010111011110100
31010222001110022100
4122132322323310
51402221011312
6112031102100
714003413101
oct3236727364
91128043270
10444313332
11208892201
12104971930
13710884c8
144301baa8
15290185dc
hex1a7baef4

444313332 has 36 divisors (see below), whose sum is σ = 1138517380. Its totient is φ = 146074752.

The previous prime is 444313319. The next prime is 444313339. The reversal of 444313332 is 233313444.

It can be written as a sum of positive squares in 2 ways, for example, as 192265956 + 252047376 = 13866^2 + 15876^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 444313296 and 444313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444313339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81907 + ... + 87162.

Almost surely, 2444313332 is an apocalyptic number.

It is an amenable number.

444313332 is an abundant number, since it is smaller than the sum of its proper divisors (694204048).

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

444313332 is a wasteful number, since it uses less digits than its factorization.

444313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169152 (or 169147 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 444313332 is about 21078.7412337644. The cubic root of 444313332 is about 763.0677778471.

Adding to 444313332 its reverse (233313444), we get a palindrome (677626776).

The spelling of 444313332 in words is "four hundred forty-four million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 169069 338138 507207 676276 1014414 1521621 2028828 3043242 6086484 12342037 24684074 37026111 49368148 74052222 111078333 148104444 222156666 444313332