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445345020 = 223352573209
BaseRepresentation
bin11010100010110…
…110110011111100
31011000222212112000
4122202312303330
51403002020040
6112105142300
714015240661
oct3242666374
91130885460
10445345020
1120942733a
1210518a990
1371359c83
1443209a68
152916e130
hex1a8b6cfc

445345020 has 96 divisors (see below), whose sum is σ = 1391342400. Its totient is φ = 118259712.

The previous prime is 445345007. The next prime is 445345027. The reversal of 445345020 is 20543544.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445345027) 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, 137176 + ... + 140384.

It is an arithmetic number, because the mean of its divisors is an integer number (14493150).

Almost surely, 2445345020 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 445345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695671200).

445345020 is an abundant number, since it is smaller than the sum of its proper divisors (945997380).

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

445345020 is a wasteful number, since it uses less digits than its factorization.

445345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 445345020 is about 21103.1992835210. The cubic root of 445345020 is about 763.6579314409.

Adding to 445345020 its reverse (20543544), we get a palindrome (465888564).

The spelling of 445345020 in words is "four hundred forty-five million, three hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 1028 1285 1542 2313 2570 3084 3209 3855 4626 5140 6418 6939 7710 9252 9627 11565 12836 13878 15420 16045 19254 23130 27756 28881 32090 34695 38508 46260 48135 57762 64180 69390 86643 96270 115524 138780 144405 173286 192540 288810 346572 433215 577620 824713 866430 1649426 1732860 2474139 3298852 4123565 4948278 7422417 8247130 9896556 12370695 14844834 16494260 22267251 24741390 29689668 37112085 44534502 49482780 74224170 89069004 111336255 148448340 222672510 445345020