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434443343112 = 233237163079333
BaseRepresentation
bin1100101001001101101…
…01110101010100001000
31112112101002210111020100
412110212311311110020
524104214443434422
6531325220325400
743246624325652
oct6244665652410
91475332714210
10434443343112
11158278a39919
1270246243860
1331c7743083c
14170547a96d2
15b47a66d7ac
hex6526d75508

434443343112 has 48 divisors (see below), whose sum is σ = 1208417864940. Its totient is φ = 140900542848.

The previous prime is 434443343099. The next prime is 434443343119. The reversal of 434443343112 is 211343344434.

434443343112 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 4 + 334 + 311 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 434262548196 + 180794916 = 658986^2 + 13446^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434443343119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81537003 + ... + 81542330.

Almost surely, 2434443343112 is an apocalyptic number.

It is an amenable number.

434443343112 is an abundant number, since it is smaller than the sum of its proper divisors (773974521828).

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

434443343112 is a wasteful number, since it uses less digits than its factorization.

434443343112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163079382 (or 163079375 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 434443343112 its reverse (211343344434), we get a palindrome (645786687546).

The spelling of 434443343112 in words is "four hundred thirty-four billion, four hundred forty-three million, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 163079333 326158666 489237999 652317332 978475998 1304634664 1467713997 1956951996 2935427994 3913903992 5870855988 6033935321 11741711976 12067870642 18101805963 24135741284 36203611926 48271482568 54305417889 72407223852 108610835778 144814447704 217221671556 434443343112