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445270350 = 235272292089
BaseRepresentation
bin11010100010100…
…100100101001110
31011000212002002110
4122202210211032
51402442122400
6112103404450
714014510200
oct3242444516
91130762073
10445270350
11209386228
12105153726
1371331ca5
14431ca770
1529156e50
hex1a8a494e

445270350 has 144 divisors (see below), whose sum is σ = 1329490800. Its totient is φ = 98219520.

The previous prime is 445270333. The next prime is 445270361. The reversal of 445270350 is 53072544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212106 + ... + 214194.

It is an arithmetic number, because the mean of its divisors is an integer number (9232575).

Almost surely, 2445270350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445270350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664745400).

445270350 is an abundant number, since it is smaller than the sum of its proper divisors (884220450).

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

445270350 is a wasteful number, since it uses less digits than its factorization.

445270350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 445270350 is about 21101.4300463262. The cubic root of 445270350 is about 763.6152487849.

The spelling of 445270350 in words is "four hundred forty-five million, two hundred seventy thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 49 50 58 70 75 87 98 105 145 147 150 174 175 203 210 245 290 294 350 406 435 490 525 609 725 735 870 1015 1050 1218 1225 1421 1450 1470 2030 2089 2175 2450 2842 3045 3675 4178 4263 4350 5075 6090 6267 7105 7350 8526 10150 10445 12534 14210 14623 15225 20890 21315 29246 30450 31335 35525 42630 43869 52225 60581 62670 71050 73115 87738 102361 104450 106575 121162 146230 156675 181743 204722 213150 219345 302905 307083 313350 363486 365575 424067 438690 511805 605810 614166 731150 848134 908715 1023610 1096725 1272201 1514525 1535415 1817430 2120335 2193450 2544402 2559025 2968469 3029050 3070830 4240670 4543575 5118050 5936938 6361005 7677075 8905407 9087150 10601675 12722010 14842345 15354150 17810814 21203350 29684690 31805025 44527035 63610050 74211725 89054070 148423450 222635175 445270350