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204535296 = 2932717373
BaseRepresentation
bin11000011000011…
…11011000000000
3112020212110200100
430030033120000
5404330112141
632143522400
75032343550
oct1414173000
9466773610
10204535296
11a5500439
12585b9400
13334b4704
141d243160
1512e530b6
hexc30f600

204535296 has 240 divisors, whose sum is σ = 716230944. Its totient is φ = 54853632.

The previous prime is 204535291. The next prime is 204535349. The reversal of 204535296 is 692535402.

It is a super-3 number, since 3×2045352963 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 204535296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204535291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548166 + ... + 548538.

Almost surely, 2204535296 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 204535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358115472).

204535296 is an abundant number, since it is smaller than the sum of its proper divisors (511695648).

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

204535296 is a wasteful number, since it uses less digits than its factorization.

204535296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 204535296 is about 14301.5836885290. The cubic root of 204535296 is about 589.1909777213.

The spelling of 204535296 in words is "two hundred four million, five hundred thirty-five thousand, two hundred ninety-six".