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445304304 = 2435532161
BaseRepresentation
bin11010100010101…
…100110111110000
31011000220210200000
4122202230313300
51402444214204
6112104230000
714015011164
oct3242546760
91130823600
10445304304
112093a9795
1210516b300
1371344593
14431d8ca4
1529162039
hex1a8acdf0

445304304 has 120 divisors (see below), whose sum is σ = 1317384432. Its totient is φ = 145566720.

The previous prime is 445304303. The next prime is 445304323. The reversal of 445304304 is 403403544.

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 (445304303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204984 + ... + 207144.

Almost surely, 2445304304 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 445304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658692216).

445304304 is an abundant number, since it is smaller than the sum of its proper divisors (872080128).

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

445304304 is a wasteful number, since it uses less digits than its factorization.

445304304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 445304304 is about 21102.2345736180. The cubic root of 445304304 is about 763.6346580667.

Adding to 445304304 its reverse (403403544), we get a palindrome (848707848).

The spelling of 445304304 in words is "four hundred forty-five million, three hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1272 1296 1431 1908 1944 2161 2544 2862 3816 3888 4293 4322 5724 6483 7632 8586 8644 11448 12879 12966 17172 17288 19449 22896 25758 25932 34344 34576 38898 51516 51864 58347 68688 77796 103032 103728 114533 116694 155592 175041 206064 229066 233388 311184 343599 350082 458132 466776 525123 687198 700164 916264 933552 1030797 1050246 1374396 1400328 1832528 2061594 2100492 2748792 2800656 3092391 4123188 4200984 5497584 6184782 8246376 8401968 9277173 12369564 16492752 18554346 24739128 27831519 37108692 49478256 55663038 74217384 111326076 148434768 222652152 445304304