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445332330 = 2345619013
BaseRepresentation
bin11010100010110…
…011101101101010
31011000222020010000
4122202303231222
51403001113310
6112105003430
714015155662
oct3242635552
91130866100
10445332330
11209418853
12105183576
1371354271
14432051a2
152916a4c0
hex1a8b3b6a

445332330 has 80 divisors (see below), whose sum is σ = 1217214504. Its totient is φ = 116795520.

The previous prime is 445332319. The next prime is 445332347. The reversal of 445332330 is 33233544.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 222934761 + 222397569 = 14931^2 + 14913^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 445332294 and 445332303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44904 + ... + 53916.

Almost surely, 2445332330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608607252).

445332330 is an abundant number, since it is smaller than the sum of its proper divisors (771882174).

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

445332330 is a wasteful number, since it uses less digits than its factorization.

445332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 445332330 is about 21102.8986160669. The cubic root of 445332330 is about 763.6506779552.

Adding to 445332330 its reverse (33233544), we get a palindrome (478565874).

The spelling of 445332330 in words is "four hundred forty-five million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1647 1830 2745 3294 4941 5490 8235 9013 9882 16470 18026 24705 27039 45065 49410 54078 81117 90130 135195 162234 243351 270390 405585 486702 549793 730053 811170 1099586 1216755 1460106 1649379 2433510 2748965 3298758 3650265 4948137 5497930 7300530 8246895 9896274 14844411 16493790 24740685 29688822 44533233 49481370 74222055 89066466 148444110 222666165 445332330