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450314235 = 38573753
BaseRepresentation
bin11010110101110…
…011111111111011
31011101100100000000
4122311303333323
51410240023420
6112403444043
714105415330
oct3265637773
91141310000
10450314235
11211210828
12106986623
13723a9a37
1443b40987
1529801690
hex1ad73ffb

450314235 has 144 divisors (see below), whose sum is σ = 969299136. Its totient is φ = 196515072.

The previous prime is 450314219. The next prime is 450314237. The reversal of 450314235 is 532413054.

It is not a de Polignac number, because 450314235 - 24 = 450314219 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 450314199 and 450314208.

It is not an unprimeable number, because it can be changed into a prime (450314237) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8496469 + ... + 8496521.

It is an arithmetic number, because the mean of its divisors is an integer number (6731244).

Almost surely, 2450314235 is an apocalyptic number.

450314235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450314235 is an abundant number, since it is smaller than the sum of its proper divisors (518984901).

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

450314235 is an frugal number, since it uses more digits than its factorization.

450314235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 450314235 is about 21220.6087330218. The cubic root of 450314235 is about 766.4877621830.

Adding to 450314235 its reverse (532413054), we get a palindrome (982727289).

The spelling of 450314235 in words is "four hundred fifty million, three hundred fourteen thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 53 63 81 105 111 135 159 185 189 243 259 265 315 333 371 405 477 555 567 729 777 795 945 999 1113 1215 1295 1431 1665 1701 1855 1961 2187 2331 2385 2835 2997 3339 3645 3885 4293 4995 5103 5565 5883 6561 6993 7155 8505 8991 9805 10017 10935 11655 12879 13727 14985 15309 16695 17649 20979 21465 25515 26973 29415 30051 32805 34965 38637 41181 44955 45927 50085 52947 62937 64395 68635 76545 80919 88245 90153 104895 115911 123543 134865 150255 158841 188811 193185 205905 229635 242757 264735 270459 314685 347733 370629 404595 450765 476523 566433 579555 617715 794205 811377 944055 1111887 1213785 1352295 1429569 1699299 1738665 1853145 2382615 2434131 2832165 3335661 4056885 4288707 5559435 7147845 8496495 10006983 12170655 12866121 16678305 21443535 30020949 50034915 64330605 90062847 150104745 450314235