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204316032 = 2731573389
BaseRepresentation
bin11000010110110…
…01110110000000
3112020110022220110
430023121312000
5404301103112
632135111320
75030441364
oct1413316600
9466408813
10204316032
11a5370728
1258512540
133343897b
141d1c72a4
1512e0d13c
hexc2d9d80

204316032 has 64 divisors (see below), whose sum is σ = 546332400. Its totient is φ = 67651584.

The previous prime is 204316027. The next prime is 204316033. The reversal of 204316032 is 230613402.

It is a happy number.

204316032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204316033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58594 + ... + 61982.

Almost surely, 2204316032 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 204316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273166200).

204316032 is an abundant number, since it is smaller than the sum of its proper divisors (342016368).

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

204316032 is a wasteful number, since it uses less digits than its factorization.

204316032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 204316032 is about 14293.9159085256. The cubic root of 204316032 is about 588.9803627902.

Adding to 204316032 its reverse (230613402), we get a palindrome (434929434).

The spelling of 204316032 in words is "two hundred four million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3389 3768 5024 6778 7536 10048 10167 13556 15072 20096 20334 27112 30144 40668 54224 60288 81336 108448 162672 216896 325344 433792 532073 650688 1064146 1301376 1596219 2128292 3192438 4256584 6384876 8513168 12769752 17026336 25539504 34052672 51079008 68105344 102158016 204316032