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204344144 = 2423619103
BaseRepresentation
bin11000010111000…
…00101101010000
3112020111202110122
430023200231100
5404303003034
632135445412
75030616344
oct1413405520
9466452418
10204344144
11a538a864
1258526868
13334486c4
141d1d3624
1512e1662e
hexc2e0b50

204344144 has 40 divisors (see below), whose sum is σ = 419949312. Its totient is φ = 96117120.

The previous prime is 204344117. The next prime is 204344159. The reversal of 204344144 is 441443402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17897 + ... + 26999.

Almost surely, 2204344144 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 204344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209974656).

204344144 is an abundant number, since it is smaller than the sum of its proper divisors (215605168).

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

204344144 is a wasteful number, since it uses less digits than its factorization.

204344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 204344144 is about 14294.8992301450. The cubic root of 204344144 is about 589.0073743051.

Adding to 204344144 its reverse (441443402), we get a palindrome (645787546).

The spelling of 204344144 in words is "two hundred four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 488 976 1403 2806 5612 9103 11224 18206 22448 36412 72824 145648 209369 418738 555283 837476 1110566 1674952 2221132 3349904 4442264 8884528 12771509 25543018 51086036 102172072 204344144