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203342032 = 2417839007
BaseRepresentation
bin11000001111011…
…00000011010000
3112011121211211101
430013230003100
5404023421112
632102154144
75016243625
oct1407540320
9464554741
10203342032
11a4865973
1258122954
133318753a
141d01234c
1512cb9757
hexc1ec0d0

203342032 has 40 divisors (see below), whose sum is σ = 422222976. Its totient is φ = 94526976.

The previous prime is 203342023. The next prime is 203342053. The reversal of 203342032 is 230243302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18073 + ... + 27079.

Almost surely, 2203342032 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 203342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211111488).

203342032 is an abundant number, since it is smaller than the sum of its proper divisors (218880944).

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

203342032 is a wasteful number, since it uses less digits than its factorization.

203342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 203342032 is about 14259.8047672470. The cubic root of 203342032 is about 588.0429573565.

Adding to 203342032 its reverse (230243302), we get a palindrome (433585334).

It can be divided in two parts, 20334 and 2032, that added together give a triangular number (22366 = T211).

The spelling of 203342032 in words is "two hundred three million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 83 136 166 272 332 664 1328 1411 2822 5644 9007 11288 18014 22576 36028 72056 144112 153119 306238 612476 747581 1224952 1495162 2449904 2990324 5980648 11961296 12708877 25417754 50835508 101671016 203342032