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204320352 = 25310719891
BaseRepresentation
bin11000010110110…
…10111001100000
3112020110112211110
430023122321200
5404301222402
632135143320
75030460105
oct1413327140
9466415743
10204320352
11a53739a5
1258514b40
133343a922
141d1c8aac
1512e0e56c
hexc2dae60

204320352 has 48 divisors (see below), whose sum is σ = 541380672. Its totient is φ = 67466880.

The previous prime is 204320317. The next prime is 204320377. The reversal of 204320352 is 253023402.

It is a tau number, because it is divible by the number of its divisors (48).

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, 327 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (11278764).

Almost surely, 2204320352 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 204320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270690336).

204320352 is an abundant number, since it is smaller than the sum of its proper divisors (337060320).

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

204320352 is a wasteful number, since it uses less digits than its factorization.

204320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 204320352 is about 14294.0670209706. The cubic root of 204320352 is about 588.9845138386.

Adding to 204320352 its reverse (253023402), we get a palindrome (457343754).

The spelling of 204320352 in words is "two hundred four million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 19891 39782 59673 79564 119346 159128 238692 318256 477384 636512 954768 1909536 2128337 4256674 6385011 8513348 12770022 17026696 25540044 34053392 51080088 68106784 102160176 204320352