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444303030 = 235193721067
BaseRepresentation
bin11010011110111…
…000011010110110
31010222000221011210
4122132320122312
51402220144110
6112030542250
714003341053
oct3236703266
91128027153
10444303030
11208885496
12104967986
1371083902
144301802a
1529015520
hex1a7b86b6

444303030 has 64 divisors (see below), whose sum is σ = 1152840960. Its totient is φ = 109206144.

The previous prime is 444303017. The next prime is 444303037. The reversal of 444303030 is 30303444.

It is a junction number, because it is equal to n+sod(n) for n = 444302988 and 444303006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444303037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10557 + ... + 31623.

It is an arithmetic number, because the mean of its divisors is an integer number (18013140).

Almost surely, 2444303030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576420480).

444303030 is an abundant number, since it is smaller than the sum of its proper divisors (708537930).

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

444303030 is a wasteful number, since it uses less digits than its factorization.

444303030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 444303030 is about 21078.4968629170. The cubic root of 444303030 is about 763.0618802185.

Adding to 444303030 its reverse (30303444), we get a palindrome (474606474).

The spelling of 444303030 in words is "four hundred forty-four million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3515 4218 7030 10545 21067 21090 42134 63201 105335 126402 210670 316005 400273 632010 779479 800546 1200819 1558958 2001365 2338437 2401638 3897395 4002730 4676874 6004095 7794790 11692185 12008190 14810101 23384370 29620202 44430303 74050505 88860606 148101010 222151515 444303030