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434575680 = 26357115879
BaseRepresentation
bin11001111001110…
…001100101000000
31010021201201202120
4121321301211000
51342222410210
6111042244240
713524555330
oct3171614500
91107651676
10434575680
11203341160
12101656680
136c059196
1441a050c0
1528243270
hex19e71940

434575680 has 224 divisors, whose sum is σ = 1720535040. Its totient is φ = 90286080.

The previous prime is 434575667. The next prime is 434575681. The reversal of 434575680 is 86575434.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434575681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70981 + ... + 76859.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2434575680 is an apocalyptic number.

434575680 is a gapful number since it is divisible by the number (40) 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 434575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

434575680 is an abundant number, since it is smaller than the sum of its proper divisors (1285959360).

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

434575680 is a wasteful number, since it uses less digits than its factorization.

434575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 434575680 is about 20846.4788393628. The cubic root of 434575680 is about 757.4520397916.

The spelling of 434575680 in words is "four hundred thirty-four million, five hundred seventy-five thousand, six hundred eighty".