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430204112 = 241331137487
BaseRepresentation
bin11001101001000…
…110010011010000
31002222111122002122
4121221012103100
51340113012422
6110404433412
713442450252
oct3151062320
91088448078
10430204112
11200925798
121000a8868
136b188460
14411c7cd2
1527b7cd42
hex19a464d0

430204112 has 80 divisors (see below), whose sum is σ = 935273472. Its totient is φ = 190356480.

The previous prime is 430204109. The next prime is 430204129. The reversal of 430204112 is 211402034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883133 + ... + 883619.

Almost surely, 2430204112 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 430204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467636736).

430204112 is an abundant number, since it is smaller than the sum of its proper divisors (505069360).

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

430204112 is a wasteful number, since it uses less digits than its factorization.

430204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 430204112 is about 20741.3623467698. The cubic root of 430204112 is about 754.9036392962.

Adding to 430204112 its reverse (211402034), we get a palindrome (641606146).

The spelling of 430204112 in words is "four hundred thirty million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 137 208 248 274 403 487 496 548 806 974 1096 1612 1781 1948 2192 3224 3562 3896 4247 6331 6448 7124 7792 8494 12662 14248 15097 16988 25324 28496 30194 33976 50648 55211 60388 66719 67952 101296 110422 120776 133438 196261 220844 241552 266876 392522 441688 533752 785044 867347 883376 1067504 1570088 1734694 2068289 3140176 3469388 4136578 6938776 8273156 13877552 16546312 26887757 33092624 53775514 107551028 215102056 430204112