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444213324 = 223222355333
BaseRepresentation
bin11010011110100…
…010100001001100
31010221212101010100
4122132202201030
51402204311244
6112025011100
714002515402
oct3236424114
91127771110
10444213324
11208824055
12104923a90
1371051b29
1442dd3472
1528ee8b69
hex1a7a284c

444213324 has 36 divisors (see below), whose sum is σ = 1127928256. Its totient is φ = 147404448.

The previous prime is 444213323. The next prime is 444213337. The reversal of 444213324 is 423312444.

It is a happy number.

444213324 is a `hidden beast` number, since 444 + 213 + 3 + 2 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (444213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19639 + ... + 35694.

Almost surely, 2444213324 is an apocalyptic number.

It is an amenable number.

444213324 is an abundant number, since it is smaller than the sum of its proper divisors (683714932).

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

444213324 is a wasteful number, since it uses less digits than its factorization.

444213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55566 (or 55561 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444213324 is about 21076.3688523427. The cubic root of 444213324 is about 763.0105220000.

Adding to 444213324 its reverse (423312444), we get a palindrome (867525768).

It can be divided in two parts, 4442 and 13324, that added together give a triangular number (17766 = T188).

The spelling of 444213324 in words is "four hundred forty-four million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 55333 110666 165999 221332 331998 497997 663996 995994 1991988 12339259 24678518 37017777 49357036 74035554 111053331 148071108 222106662 444213324