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434445032 = 237192231831
BaseRepresentation
bin11001111001010…
…001101011101000
31010021111002112202
4121321101223220
51342204220112
6111035355332
713523502410
oct3171215350
91107432482
10434445032
11203261a8a
121015b2b48
136c011888
14419ad640
15282196c2
hex19e51ae8

434445032 has 64 divisors (see below), whose sum is σ = 984883200. Its totient is φ = 175504320.

The previous prime is 434445031. The next prime is 434445049. The reversal of 434445032 is 230544434.

It is a junction number, because it is equal to n+sod(n) for n = 434444986 and 434445004.

It is not an unprimeable number, because it can be changed into a prime (434445031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236357 + ... + 238187.

It is an arithmetic number, because the mean of its divisors is an integer number (15388800).

Almost surely, 2434445032 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 434445032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492441600).

434445032 is an abundant number, since it is smaller than the sum of its proper divisors (550438168).

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

434445032 is a wasteful number, since it uses less digits than its factorization.

434445032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 434445032 is about 20843.3450290494. The cubic root of 434445032 is about 757.3761270356.

Adding to 434445032 its reverse (230544434), we get a palindrome (664989466).

The spelling of 434445032 in words is "four hundred thirty-four million, four hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 223 266 446 532 892 1064 1561 1784 1831 3122 3662 4237 6244 7324 8474 12488 12817 14648 16948 25634 29659 33896 34789 51268 59318 69578 102536 118636 139156 237272 243523 278312 408313 487046 816626 974092 1633252 1948184 2858191 3266504 5716382 7757947 11432764 15515894 22865528 31031788 54305629 62063576 108611258 217222516 434445032