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434340032 = 267969509
BaseRepresentation
bin11001111000111…
…000000011000000
31010021021202111212
4121320320003000
51342142340112
6111033225252
713522554320
oct3170700300
91107252455
10434340032
112031a0105
12101562228
136bca5b49
1441983280
15281e8522
hex19e380c0

434340032 has 28 divisors (see below), whose sum is σ = 985022160. Its totient is φ = 186145536.

The previous prime is 434340017. The next prime is 434340037. The reversal of 434340032 is 230043434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×4343400322 = 377302526795522048, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (434340037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484307 + ... + 485202.

Almost surely, 2434340032 is an apocalyptic number.

It is an amenable number.

434340032 is an abundant number, since it is smaller than the sum of its proper divisors (550682128).

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

434340032 is an equidigital number, since it uses as much as digits as its factorization.

434340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969528 (or 969518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 434340032 is about 20840.8260872740. The cubic root of 434340032 is about 757.3151059666.

Adding to 434340032 its reverse (230043434), we get a palindrome (664383466).

The spelling of 434340032 in words is "four hundred thirty-four million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 969509 1939018 3878036 6786563 7756072 13573126 15512144 27146252 31024288 54292504 62048576 108585008 217170016 434340032