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434787066 = 232714923159
BaseRepresentation
bin11001111010100…
…101001011111010
31010022010110201200
4121322211023322
51342301141231
6111050555030
713526425530
oct3172451372
91108113650
10434787066
11203475a5a
12101738a76
136c10146c
1441a5c150
1528285be6
hex19ea52fa

434787066 has 48 divisors (see below), whose sum is σ = 1083888000. Its totient is φ = 123385824.

The previous prime is 434787047. The next prime is 434787071. The reversal of 434787066 is 660787434.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7195 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (22581000).

Almost surely, 2434787066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434787066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541944000).

434787066 is an abundant number, since it is smaller than the sum of its proper divisors (649100934).

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

434787066 is a wasteful number, since it uses less digits than its factorization.

434787066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23323 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 434787066 is about 20851.5482878370. The cubic root of 434787066 is about 757.5748329822.

The spelling of 434787066 in words is "four hundred thirty-four million, seven hundred eighty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6258 9387 18774 23159 46318 69477 138954 162113 208431 324226 416862 486339 972678 1459017 2918034 3450691 6901382 10352073 20704146 24154837 31056219 48309674 62112438 72464511 144929022 217393533 434787066