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203134734 = 2321117292081
BaseRepresentation
bin11000001101110…
…01011100001110
3112011020022110200
430012321130032
5404000302414
632053514330
75014421355
oct1406713416
9464208420
10203134734
11a4734150
12580429a6
133311408a
141cd9a99c
1512c78109
hexc1b970e

203134734 has 96 divisors (see below), whose sum is σ = 526163040. Its totient is φ = 55910400.

The previous prime is 203134733. The next prime is 203134741. The reversal of 203134734 is 437431302.

203134734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 203134698 and 203134707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203134733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96574 + ... + 98654.

It is an arithmetic number, because the mean of its divisors is an integer number (5480865).

Almost surely, 2203134734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203134734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263081520).

203134734 is an abundant number, since it is smaller than the sum of its proper divisors (323028306).

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

203134734 is a wasteful number, since it uses less digits than its factorization.

203134734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 203134734 is about 14252.5343009585. The cubic root of 203134734 is about 587.8430616846.

The spelling of 203134734 in words is "two hundred three million, one hundred thirty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 957 986 1122 1479 1683 1914 2081 2871 2958 3366 4162 4437 5423 5742 6243 8874 10846 12486 16269 18729 22891 32538 35377 37458 45782 48807 60349 68673 70754 97614 106131 120698 137346 181047 206019 212262 318393 362094 389147 412038 543141 636786 663839 778294 1025933 1086282 1167441 1327678 1991517 2051866 2334882 3077799 3502323 3983034 5974551 6155598 7004646 9233397 11285263 11949102 18466794 22570526 33855789 67711578 101567367 203134734