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434425446 = 2327131715601
BaseRepresentation
bin11001111001001…
…100111001100110
31010021110002200100
4121321030321212
51342203103241
6111035124530
713523361330
oct3171147146
91107402610
10434425446
112032492a4
121015a3746
136c0059a0
14419a6450
15282139b6
hex19e4ce66

434425446 has 96 divisors (see below), whose sum is σ = 1226691648. Its totient is φ = 107827200.

The previous prime is 434425427. The next prime is 434425447. The reversal of 434425446 is 644524434.

It is a self number, because there is not a number n which added to its sum of digits gives 434425446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434425447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20046 + ... + 35646.

It is an arithmetic number, because the mean of its divisors is an integer number (12778038).

Almost surely, 2434425446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434425446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613345824).

434425446 is an abundant number, since it is smaller than the sum of its proper divisors (792266202).

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

434425446 is a wasteful number, since it uses less digits than its factorization.

434425446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15646 (or 15643 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 434425446 is about 20842.8751855400. The cubic root of 434425446 is about 757.3647453182.

The spelling of 434425446 in words is "four hundred thirty-four million, four hundred twenty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1638 1989 2142 3094 3978 4641 9282 13923 15601 27846 31202 46803 93606 109207 140409 202813 218414 265217 280818 327621 405626 530434 608439 655242 795651 982863 1216878 1419691 1591302 1825317 1856519 1965726 2386953 2839382 3447821 3650634 3713038 4259073 4773906 5569557 6895642 8518146 10343463 11139114 12777219 16708671 20686926 24134747 25554438 31030389 33417342 48269494 62060778 72404241 144808482 217212723 434425446