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204240312 = 23331755621
BaseRepresentation
bin11000010110001…
…11010110111000
3112020022111001000
430023013112320
5404241142222
632133325000
75030004543
oct1413072670
9466274030
10204240312
11a5319851
1258496760
1333410373
141d1a785a
1512de59ac
hexc2c75b8

204240312 has 64 divisors (see below), whose sum is σ = 600717600. Its totient is φ = 64074240.

The previous prime is 204240263. The next prime is 204240317. The reversal of 204240312 is 213042402.

204240312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204240317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24139 + ... + 31482.

Almost surely, 2204240312 is an apocalyptic number.

It is an amenable number.

204240312 is an abundant number, since it is smaller than the sum of its proper divisors (396477288).

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

204240312 is a wasteful number, since it uses less digits than its factorization.

204240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55653 (or 55643 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204240312 is about 14291.2669837212. The cubic root of 204240312 is about 588.9075946328.

Adding to 204240312 its reverse (213042402), we get a palindrome (417282714).

The spelling of 204240312 in words is "two hundred four million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 55621 111242 166863 222484 333726 444968 500589 667452 945557 1001178 1334904 1501767 1891114 2002356 2836671 3003534 3782228 4004712 5673342 6007068 7564456 8510013 11346684 12014136 17020026 22693368 25530039 34040052 51060078 68080104 102120156 204240312