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434241301032 = 233273118319259
BaseRepresentation
bin1100101000110101100…
…11000110101000101000
31112111212000121200121100
412110122303012220220
524103311233113112
6531253202041400
743241622105000
oct6243263065050
91474760550540
10434241301032
111581849916a0
12701aa649260
1331c4460cc06
1417035a15000
15b467a5e2dc
hex651acc6a28

434241301032 has 384 divisors, whose sum is σ = 1514298240000. Its totient is φ = 111425247360.

The previous prime is 434241301027. The next prime is 434241301037. The reversal of 434241301032 is 230103142434.

434241301032 is a `hidden beast` number, since 4 + 3 + 424 + 130 + 103 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (434241301027) and next prime (434241301037).

It is a junction number, because it is equal to n+sod(n) for n = 434241300987 and 434241301005.

It is not an unprimeable number, because it can be changed into a prime (434241301037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22537819 + ... + 22557077.

It is an arithmetic number, because the mean of its divisors is an integer number (3943485000).

Almost surely, 2434241301032 is an apocalyptic number.

434241301032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434241301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757149120000).

434241301032 is an abundant number, since it is smaller than the sum of its proper divisors (1080056938968).

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

434241301032 is a wasteful number, since it uses less digits than its factorization.

434241301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19386 (or 19365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434241301032 its reverse (230103142434), we get a palindrome (664344443466).

The spelling of 434241301032 in words is "four hundred thirty-four billion, two hundred forty-one million, three hundred one thousand, thirty-two".