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444430035 = 32572361343
BaseRepresentation
bin11010011111010…
…111011011010011
31010222021101101200
4122133113123103
51402233230120
6112033402243
714004410250
oct3237273323
91128241350
10444430035
11208961955
12104a09383
13710c966a
144304c427
152903ce90
hex1a7d76d3

444430035 has 48 divisors (see below), whose sum is σ = 918687744. Its totient is φ = 194331456.

The previous prime is 444430033. The next prime is 444430039. The reversal of 444430035 is 530034444.

It is not a de Polignac number, because 444430035 - 21 = 444430033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444429990 and 444430008.

It is not an unprimeable number, because it can be changed into a prime (444430033) 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 47 ways as a sum of consecutive naturals, for example, 23427 + ... + 37916.

It is an arithmetic number, because the mean of its divisors is an integer number (19139328).

Almost surely, 2444430035 is an apocalyptic number.

444430035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444430035 is an abundant number, since it is smaller than the sum of its proper divisors (474257709).

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

444430035 is a wasteful number, since it uses less digits than its factorization.

444430035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61384 (or 61381 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 444430035 is about 21081.5093150372. The cubic root of 444430035 is about 763.1345809316.

Adding to 444430035 its reverse (530034444), we get a palindrome (974464479).

The spelling of 444430035 in words is "four hundred forty-four million, four hundred thirty thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 61343 184029 306715 429401 552087 920145 1288203 1410889 2147005 2760435 3864609 4232667 6441015 7054445 9876223 12698001 19323045 21163335 29628669 49381115 63490005 88886007 148143345 444430035