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203242004 = 227217181337
BaseRepresentation
bin11000001110100…
…11101000010100
3112011102202121122
430013103220110
5404012221004
632100103112
75015346200
oct1407235024
9464382548
10203242004
11a47a77a9
1258094a98
1333150b54
141cdc7b00
1512c99cbe
hexc1d3a14

203242004 has 72 divisors (see below), whose sum is σ = 441807912. Its totient is φ = 81285120.

The previous prime is 203241991. The next prime is 203242009. The reversal of 203242004 is 400242302.

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 201924100 = 1148^2 + 14210^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203242009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602924 + ... + 603260.

It is an arithmetic number, because the mean of its divisors is an integer number (6136221).

Almost surely, 2203242004 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 203242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220903956).

203242004 is an abundant number, since it is smaller than the sum of its proper divisors (238565908).

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

203242004 is a wasteful number, since it uses less digits than its factorization.

203242004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 203242004 is about 14256.2969946617. The cubic root of 203242004 is about 587.9465181894.

Adding to 203242004 its reverse (400242302), we get a palindrome (603484306).

The spelling of 203242004 in words is "two hundred three million, two hundred forty-two thousand, four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 181 196 238 337 362 476 674 724 833 1267 1348 1666 2359 2534 3077 3332 4718 5068 5729 6154 8869 9436 11458 12308 16513 17738 21539 22916 33026 35476 40103 43078 60997 66052 80206 86156 121994 150773 160412 243988 280721 301546 426979 561442 603092 853958 1036949 1122884 1707916 2073898 2988853 4147796 5977706 7258643 11955412 14517286 29034572 50810501 101621002 203242004