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4066434 = 2321797137
BaseRepresentation
bin1111100000110010000010
321122121002200
433200302002
52020111214
6223054030
746364331
oct17406202
97577080
104066434
112328199
121441316
13ac4b98
1477bd18
15554d09
hex3e0c82

4066434 has 48 divisors (see below), whose sum is σ = 9493848. Its totient is φ = 1253376.

The previous prime is 4066379. The next prime is 4066441. The reversal of 4066434 is 4346604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3861225 + 205209 = 1965^2 + 453^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4066398 and 4066407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29614 + ... + 29750.

Almost surely, 24066434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746924).

4066434 is an abundant number, since it is smaller than the sum of its proper divisors (5427414).

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

4066434 is a wasteful number, since it uses less digits than its factorization.

4066434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4066434 is about 2016.5401062215. The cubic root of 4066434 is about 159.6140960282.

The spelling of 4066434 in words is "four million, sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 137 153 194 274 291 306 411 582 822 873 1233 1649 1746 2329 2466 3298 4658 4947 6987 9894 13289 13974 14841 20961 26578 29682 39867 41922 79734 119601 225913 239202 451826 677739 1355478 2033217 4066434