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204352 = 2631103
BaseRepresentation
bin110001111001000000
3101101022121
4301321000
523014402
64214024
71510531
oct617100
9341277
10204352
1112a595
129a314
1372025
1454688
1540837
hex31e40

204352 has 28 divisors (see below), whose sum is σ = 422656. Its totient is φ = 97920.

The previous prime is 204331. The next prime is 204353. The reversal of 204352 is 253402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1933 + ... + 2035.

2204352 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 204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211328).

204352 is an abundant number, since it is smaller than the sum of its proper divisors (218304).

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

204352 is a wasteful number, since it uses less digits than its factorization.

204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 204352 is about 452.0530942268. The cubic root of 204352 is about 58.9014922328.

Adding to 204352 its reverse (253402), we get a palindrome (457754).

The spelling of 204352 in words is "two hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 206 248 412 496 824 992 1648 1984 3193 3296 6386 6592 12772 25544 51088 102176 204352