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445343544 = 233237349479
BaseRepresentation
bin11010100010110…
…110011100111000
31011000222210111100
4122202312130320
51403001443134
6112105131400
714015233452
oct3242663470
91130883440
10445343544
11209426218
12105189b60
13713593b9
14432092d2
152916d999
hex1a8b6738

445343544 has 96 divisors (see below), whose sum is σ = 1244880000. Its totient is φ = 143721216.

The previous prime is 445343513. The next prime is 445343557.

445343544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445343499 and 445343508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929497 + ... + 929975.

It is an arithmetic number, because the mean of its divisors is an integer number (12967500).

Almost surely, 2445343544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445343544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440000).

445343544 is an abundant number, since it is smaller than the sum of its proper divisors (799536456).

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

445343544 is a wasteful number, since it uses less digits than its factorization.

445343544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 445343544 is about 21103.1643124911. The cubic root of 445343544 is about 763.6570877802.

The spelling of 445343544 in words is "four hundred forty-five million, three hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 349 444 479 666 698 888 958 1047 1332 1396 1437 1916 2094 2664 2792 2874 3141 3832 4188 4311 5748 6282 8376 8622 11496 12564 12913 17244 17723 25128 25826 34488 35446 38739 51652 53169 70892 77478 103304 106338 116217 141784 154956 159507 167171 212676 232434 309912 319014 334342 425352 464868 501513 638028 668684 929736 1003026 1276056 1337368 1504539 2006052 3009078 4012104 6018156 6185327 12036312 12370654 18555981 24741308 37111962 49482616 55667943 74223924 111335886 148447848 222671772 445343544