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432142340 = 225729163653
BaseRepresentation
bin11001110000011…
…111100000000100
31010010011002211212
4121300133200010
51341112023330
6110514150552
713465102130
oct3160374004
91103132755
10432142340
11201a29a33
12100882458
136b6b6736
14415703c0
1527e12295
hex19c1f804

432142340 has 96 divisors (see below), whose sum is σ = 1081140480. Its totient is φ = 141958656.

The previous prime is 432142339. The next prime is 432142367. The reversal of 432142340 is 43241234.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661454 + ... + 662106.

It is an arithmetic number, because the mean of its divisors is an integer number (11261880).

Almost surely, 2432142340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540570240).

432142340 is an abundant number, since it is smaller than the sum of its proper divisors (648998140).

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

432142340 is a wasteful number, since it uses less digits than its factorization.

432142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 432142340 is about 20788.0335770366. The cubic root of 432142340 is about 756.0356472838.

Adding to 432142340 its reverse (43241234), we get a palindrome (475383574).

It can be divided in two parts, 43214 and 2340, that added together give a palindrome (45554).

The spelling of 432142340 in words is "four hundred thirty-two million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 163 203 290 326 406 580 652 653 812 815 1015 1141 1306 1630 2030 2282 2612 3260 3265 4060 4564 4571 4727 5705 6530 9142 9454 11410 13060 18284 18908 18937 22820 22855 23635 33089 37874 45710 47270 66178 75748 91420 94540 94685 106439 132356 132559 165445 189370 212878 265118 330890 378740 425756 530236 532195 661780 662795 745073 1064390 1325590 1490146 2128780 2651180 2980292 3086731 3725365 6173462 7450730 12346924 14901460 15433655 21607117 30867310 43214234 61734620 86428468 108035585 216071170 432142340