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434122112 = 27291071093
BaseRepresentation
bin11001111000000…
…010110110000000
31010020212200120202
4121320002312000
51342113401422
6111024424332
713520656064
oct3170026600
91106780522
10434122112
11203061406
121014780a8
136bc2a8b8
1441927aa4
15281a3b92
hex19e02d80

434122112 has 64 divisors (see below), whose sum is σ = 903862800. Its totient is φ = 207427584.

The previous prime is 434122111. The next prime is 434122207. The reversal of 434122112 is 211221434.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396638 + ... + 397730.

Almost surely, 2434122112 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 434122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451931400).

434122112 is an abundant number, since it is smaller than the sum of its proper divisors (469740688).

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

434122112 is a wasteful number, since it uses less digits than its factorization.

434122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 434122112 is about 20835.5972316610. The cubic root of 434122112 is about 757.1884297037.

Adding to 434122112 its reverse (211221434), we get a palindrome (645343546).

The spelling of 434122112 in words is "four hundred thirty-four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 128 214 232 428 464 856 928 1093 1712 1856 2186 3103 3424 3712 4372 6206 6848 8744 12412 13696 17488 24824 31697 34976 49648 63394 69952 99296 116951 126788 139904 198592 233902 253576 397184 467804 507152 935608 1014304 1871216 2028608 3391579 3742432 4057216 6783158 7484864 13566316 14969728 27132632 54265264 108530528 217061056 434122112