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431378112 = 26311204251
BaseRepresentation
bin11001101101100…
…100111011000000
31010001201021112010
4121231210323000
51340413044422
6110445532520
713455440064
oct3155447300
91101637463
10431378112
11201557840
12100574140
136b4a9929
1441411aa4
1527d10b0c
hex19b64ec0

431378112 has 56 divisors (see below), whose sum is σ = 1245120192. Its totient is φ = 130720000.

The previous prime is 431378089. The next prime is 431378117. The reversal of 431378112 is 211873134.

It is a self number, because there is not a number n which added to its sum of digits gives 431378112.

It is not an unprimeable number, because it can be changed into a prime (431378117) 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, 100014 + ... + 104237.

Almost surely, 2431378112 is an apocalyptic number.

It is an amenable number.

431378112 is an abundant number, since it is smaller than the sum of its proper divisors (813742080).

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

431378112 is a wasteful number, since it uses less digits than its factorization.

431378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204277 (or 204267 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 431378112 is about 20769.6440027267. The cubic root of 431378112 is about 755.5897104642.

The spelling of 431378112 in words is "four hundred thirty-one million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 204251 408502 612753 817004 1225506 1634008 2246761 2451012 3268016 4493522 4902024 6536032 6740283 8987044 9804048 13072064 13480566 17974088 19608096 26961132 35948176 39216192 53922264 71896352 107844528 143792704 215689056 431378112