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434682 = 232193141
BaseRepresentation
bin1101010000111111010
3211002021100
41222013322
5102402212
613152230
73460203
oct1520772
9732240
10434682
11277646
1218b676
13122b11
14b45aa
1588bdc
hex6a1fa

434682 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 129600.

The previous prime is 434659. The next prime is 434683. The reversal of 434682 is 286434.

It is a super-2 number, since 2×4346822 = 377896882248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (4608) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (434683) by changing a digit.

434682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10582 + ... + 10622.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2434682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

434682 is an abundant number, since it is smaller than the sum of its proper divisors (613638).

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

434682 is a wasteful number, since it uses less digits than its factorization.

434682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 434682 is about 659.3041786611. The cubic root of 434682 is about 75.7513805584.

The spelling of 434682 in words is "four hundred thirty-four thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 31 38 41 57 62 82 93 114 123 171 186 246 279 342 369 558 589 738 779 1178 1271 1558 1767 2337 2542 3534 3813 4674 5301 7011 7626 10602 11439 14022 22878 24149 48298 72447 144894 217341 434682