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434056896 = 263273133
BaseRepresentation
bin11001110111110…
…010111011000000
31010020202101010100
4121313302323000
51342104310041
6111023202400
713520265000
oct3167627300
91106671110
10434056896
11203017409
12101446400
136bc07000
144190c000
152818e6b6
hex19df2ec0

434056896 has 336 divisors, whose sum is σ = 1571752000. Its totient is φ = 114476544.

The previous prime is 434056871. The next prime is 434056913. The reversal of 434056896 is 698650434.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

434056896 is a `hidden beast` number, since 43 + 40 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33388986 + ... + 33388998.

Almost surely, 2434056896 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 434056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785876000).

434056896 is an abundant number, since it is smaller than the sum of its proper divisors (1137695104).

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

434056896 is an equidigital number, since it uses as much as digits as its factorization.

434056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 434056896 is about 20834.0321589461. The cubic root of 434056896 is about 757.1505115909.

The spelling of 434056896 in words is "four hundred thirty-four million, fifty-six thousand, eight hundred ninety-six".