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203434242 = 23115989587
BaseRepresentation
bin11000010000000…
…10100100000010
3112011210112022120
430020002210002
5404034343432
632104145110
75020106514
oct1410024402
9464715276
10203434242
11a4919180
1258168196
13331ba4bb
141d037bb4
1512cd6c2c
hexc202902

203434242 has 64 divisors (see below), whose sum is σ = 457228800. Its totient is φ = 59818880.

The previous prime is 203434237. The next prime is 203434271. The reversal of 203434242 is 242434302.

It is a super-2 number, since 2×2034342422 = 82770981636229128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346273 + ... + 346859.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2203434242 is an apocalyptic number.

203434242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203434242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

203434242 is an abundant number, since it is smaller than the sum of its proper divisors (253794558).

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

203434242 is a wasteful number, since it uses less digits than its factorization.

203434242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 203434242 is about 14263.0376147579. The cubic root of 203434242 is about 588.1318310083.

Adding to 203434242 its reverse (242434302), we get a palindrome (445868544).

The spelling of 203434242 in words is "two hundred three million, four hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 89 118 177 178 267 354 534 587 649 979 1174 1298 1761 1947 1958 2937 3522 3894 5251 5874 6457 10502 12914 15753 19371 31506 34633 38742 52243 57761 69266 103899 104486 115522 156729 173283 207798 313458 346566 380963 574673 761926 1142889 1149346 1724019 2285778 3082337 3448038 6164674 9247011 18494022 33905707 67811414 101717121 203434242