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445680378 = 2321113219701
BaseRepresentation
bin11010100100001…
…000101011111010
31011001121220112200
4122210020223322
51403043233003
6112120251030
714021135463
oct3244105372
91131556480
10445680378
112096362a0
12105310a76
1371446800
1443295d6a
15291d86a3
hex1a908afa

445680378 has 144 divisors (see below), whose sum is σ = 1202441760. Its totient is φ = 117936000.

The previous prime is 445680349. The next prime is 445680379. The reversal of 445680378 is 873086544.

It is not an unprimeable number, because it can be changed into a prime (445680379) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 635428 + ... + 636128.

It is an arithmetic number, because the mean of its divisors is an integer number (8350290).

Almost surely, 2445680378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445680378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601220880).

445680378 is an abundant number, since it is smaller than the sum of its proper divisors (756761382).

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

445680378 is a wasteful number, since it uses less digits than its factorization.

445680378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 445680378 is about 21111.1434555308. The cubic root of 445680378 is about 763.8495690317.

The spelling of 445680378 in words is "four hundred forty-five million, six hundred eighty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 169 171 198 209 234 247 286 338 342 418 429 494 507 627 701 741 858 1014 1254 1287 1402 1482 1521 1859 1881 2103 2223 2574 2717 3042 3211 3718 3762 4206 4446 5434 5577 6309 6422 7711 8151 9113 9633 11154 12618 13319 15422 16302 16731 18226 19266 23133 24453 26638 27339 28899 33462 35321 39957 46266 48906 54678 57798 69399 70642 79914 82017 100243 105963 118469 119871 138798 146509 164034 173147 200486 211926 236938 239742 293018 300729 317889 346294 355407 439527 519441 601458 635778 710814 879054 902187 1038882 1066221 1303159 1318581 1558323 1804374 1904617 2132442 2250911 2606318 2637162 3116646 3809234 3909477 4501822 5713851 6752733 7818954 11427702 11728431 13505466 17141553 20258199 23456862 24760021 34283106 40516398 49520042 74280063 148560126 222840189 445680378