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203434112 = 2771092083
BaseRepresentation
bin11000010000000…
…10100010000000
3112011210112010202
430020002202000
5404034342422
632104144332
75020106240
oct1410024200
9464715122
10203434112
11a4919072
12581680a8
13331ba41b
141d037b20
1512cd6b92
hexc202880

203434112 has 64 divisors (see below), whose sum is σ = 467649600. Its totient is φ = 86344704.

The previous prime is 203434111. The next prime is 203434129. The reversal of 203434112 is 211434302.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (203434111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96623 + ... + 98705.

It is an arithmetic number, because the mean of its divisors is an integer number (7307025).

Almost surely, 2203434112 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 203434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233824800).

203434112 is an abundant number, since it is smaller than the sum of its proper divisors (264215488).

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

203434112 is a wasteful number, since it uses less digits than its factorization.

203434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 203434112 is about 14263.0330575232. The cubic root of 203434112 is about 588.1317057309.

Adding to 203434112 its reverse (211434302), we get a palindrome (414868414).

The spelling of 203434112 in words is "two hundred three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 436 448 763 872 896 1526 1744 2083 3052 3488 4166 6104 6976 8332 12208 13952 14581 16664 24416 29162 33328 48832 58324 66656 97664 116648 133312 227047 233296 266624 454094 466592 908188 933184 1589329 1816376 1866368 3178658 3632752 6357316 7265504 12714632 14531008 25429264 29062016 50858528 101717056 203434112