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203201304 = 233471511193
BaseRepresentation
bin11000001110010…
…01101100011000
3112011100200210020
430013021230120
5404004420204
632055150440
75015116425
oct1407115430
9464320706
10203201304
11a477a169
1258075420
1333138477
141cdb6d4c
1512c8cbd9
hexc1c9b18

203201304 has 64 divisors (see below), whose sum is σ = 522685440. Its totient is φ = 65798400.

The previous prime is 203201303. The next prime is 203201321. The reversal of 203201304 is 403102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203201303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169732 + ... + 170924.

It is an arithmetic number, because the mean of its divisors is an integer number (8166960).

Almost surely, 2203201304 is an apocalyptic number.

203201304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261342720).

203201304 is an abundant number, since it is smaller than the sum of its proper divisors (319484136).

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

203201304 is a wasteful number, since it uses less digits than its factorization.

203201304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 203201304 is about 14254.8694837940. The cubic root of 203201304 is about 587.9072693787.

Adding to 203201304 its reverse (403102302), we get a palindrome (606303606).

The spelling of 203201304 in words is "two hundred three million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 151 188 282 302 376 453 564 604 906 1128 1193 1208 1812 2386 3579 3624 4772 7097 7158 9544 14194 14316 21291 28388 28632 42582 56071 56776 85164 112142 168213 170328 180143 224284 336426 360286 448568 540429 672852 720572 1080858 1345704 1441144 2161716 4323432 8466721 16933442 25400163 33866884 50800326 67733768 101600652 203201304