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4416334434 = 233415933809
BaseRepresentation
bin1000001110011101…
…11110101001100010
3102101210010000221000
410013032332221202
533021040200214
62010121212430
7214304136411
oct40716765142
912353100830
104416334434
1119669a6476
12a33031116
13554c61b55
142dc76b478
151acab3809
hex1073bea62

4416334434 has 64 divisors (see below), whose sum is σ = 10224144000. Its totient is φ = 1411822080.

The previous prime is 4416334337. The next prime is 4416334451. The reversal of 4416334434 is 4344336144.

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 31 ways as a sum of consecutive naturals, for example, 113722 + ... + 147530.

It is an arithmetic number, because the mean of its divisors is an integer number (159752250).

Almost surely, 24416334434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416334434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112072000).

4416334434 is an abundant number, since it is smaller than the sum of its proper divisors (5807809566).

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

4416334434 is a wasteful number, since it uses less digits than its factorization.

4416334434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33920 (or 33914 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 4416334434 is about 66455.5071758541. The cubic root of 4416334434 is about 1640.6677869919.

The spelling of 4416334434 in words is "four billion, four hundred sixteen million, three hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 177 246 354 369 531 738 1062 1107 1593 2214 2419 3186 4838 7257 14514 21771 33809 43542 65313 67618 101427 130626 202854 304281 608562 912843 1386169 1825686 1994731 2772338 3989462 4158507 5984193 8317014 11968386 12475521 17952579 24951042 35905158 37426563 53857737 74853126 81783971 107715474 163567942 245351913 490703826 736055739 1472111478 2208167217 4416334434