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445760316 = 223253307761
BaseRepresentation
bin11010100100011…
…100001100111100
31011001202222012100
4122210130030330
51403103312231
6112122105100
714021620521
oct3244341474
91131688170
10445760316
11209690361
1210534b190
1371474001
14432b7148
15292021e6
hex1a91c33c

445760316 has 72 divisors (see below), whose sum is σ = 1153296144. Its totient is φ = 145117440.

The previous prime is 445760297. The next prime is 445760321. The reversal of 445760316 is 613067544.

It is a happy number.

445760316 is a `hidden beast` number, since 4 + 45 + 7 + 603 + 1 + 6 = 666.

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

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, 585376 + ... + 586136.

It is an arithmetic number, because the mean of its divisors is an integer number (16018002).

Almost surely, 2445760316 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 445760316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576648072).

445760316 is an abundant number, since it is smaller than the sum of its proper divisors (707535828).

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

445760316 is a wasteful number, since it uses less digits than its factorization.

445760316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 445760316 is about 21113.0366361639. The cubic root of 445760316 is about 763.8952347596.

It can be divided in two parts, 445 and 760316, that added together give a triangular number (760761 = T1233).

The spelling of 445760316 in words is "four hundred forty-five million, seven hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 307 318 477 614 636 761 921 954 1228 1522 1842 1908 2283 2763 3044 3684 4566 5526 6849 9132 11052 13698 16271 27396 32542 40333 48813 65084 80666 97626 120999 146439 161332 195252 233627 241998 292878 362997 467254 483996 585756 700881 725994 934508 1401762 1451988 2102643 2803524 4205286 8410572 12382231 24764462 37146693 49528924 74293386 111440079 148586772 222880158 445760316