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204339296 = 2571735273
BaseRepresentation
bin11000010110111…
…11100001100000
3112020111111211002
430023133201200
5404302324141
632135411132
75030566250
oct1413374140
9466444732
10204339296
11a5387157
1258523aa8
1333446435
141d1d1960
1512e14e9b
hexc2df860

204339296 has 48 divisors (see below), whose sum is σ = 462508704. Its totient is φ = 87051264.

The previous prime is 204339253. The next prime is 204339323. The reversal of 204339296 is 692933402.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36116 + ... + 41388.

It is an arithmetic number, because the mean of its divisors is an integer number (9635598).

Almost surely, 2204339296 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 204339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231254352).

204339296 is an abundant number, since it is smaller than the sum of its proper divisors (258169408).

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

204339296 is a wasteful number, since it uses less digits than its factorization.

204339296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 204339296 is about 14294.7296581642. The cubic root of 204339296 is about 589.0027162639.

The spelling of 204339296 in words is "two hundred four million, three hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1211 1384 2422 2768 4844 5273 5536 9688 10546 19376 21092 36911 38752 42184 73822 84368 147644 168736 295288 590576 912229 1181152 1824458 3648916 6385603 7297832 12771206 14595664 25542412 29191328 51084824 102169648 204339296