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203900328 = 2335531979
BaseRepresentation
bin11000010011101…
…00010110101000
3112012200012200000
430021310112220
5404144302303
632122143000
75024060412
oct1411642650
9465605600
10203900328
11a5107375
1258351a60
13333216a8
141d1199b2
1512d79da3
hexc2745a8

203900328 has 96 divisors (see below), whose sum is σ = 583783200. Its totient is φ = 66650688.

The previous prime is 203900327. The next prime is 203900341. The reversal of 203900328 is 823009302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203900327) 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, 102043 + ... + 104021.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2203900328 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 203900328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291891600).

203900328 is an abundant number, since it is smaller than the sum of its proper divisors (379882872).

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

203900328 is a wasteful number, since it uses less digits than its factorization.

203900328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 203900328 is about 14279.3672128705. The cubic root of 203900328 is about 588.5806425940.

The spelling of 203900328 in words is "two hundred three million, nine hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 1979 2862 3816 3958 4293 5724 5937 7916 8586 11448 11874 12879 15832 17172 17811 23748 25758 34344 35622 47496 51516 53433 71244 103032 104887 106866 142488 160299 209774 213732 314661 320598 419548 427464 480897 629322 641196 839096 943983 961794 1258644 1282392 1887966 1923588 2517288 2831949 3775932 3847176 5663898 7551864 8495847 11327796 16991694 22655592 25487541 33983388 50975082 67966776 101950164 203900328