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12450312 = 2332723529
BaseRepresentation
bin101111011111…
…101000001000
3212102112121200
4233133220020
511141402222
61122504200
7210553200
oct57375010
925375550
1012450312
117034116
124205060
13276bc64
141921400
15115deac
hexbdfa08

12450312 has 72 divisors (see below), whose sum is σ = 39235950. Its totient is φ = 3556224.

The previous prime is 12450311. The next prime is 12450323. The reversal of 12450312 is 21305421.

It can be written as a sum of positive squares in only one way, i.e., 12152196 + 298116 = 3486^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12450311) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1764 + ... + 5292.

Almost surely, 212450312 is an apocalyptic number.

12450312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3528×3529.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12450312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617975).

12450312 is an abundant number, since it is smaller than the sum of its proper divisors (26785638).

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

12450312 is a wasteful number, since it uses less digits than its factorization.

12450312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12450312 is about 3528.4999645742. The cubic root of 12450312 is about 231.7715249712.

Adding to 12450312 its reverse (21305421), we get a palindrome (33755733).

The spelling of 12450312 in words is "twelve million, four hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3529 7058 10587 14116 21174 24703 28232 31761 42348 49406 63522 74109 84696 98812 127044 148218 172921 197624 222327 254088 296436 345842 444654 518763 592872 691684 889308 1037526 1383368 1556289 1778616 2075052 3112578 4150104 6225156 12450312