Search a number
-
+
430314140 = 22547597759
BaseRepresentation
bin11001101001100…
…001001010011100
31002222201020000202
4121221201022130
51340130023030
6110411043032
713443416114
oct3151411234
91088636022
10430314140
112009a0423
12100140478
136b1c6569
1441216044
1527ba0745
hex19a6129c

430314140 has 48 divisors (see below), whose sum is σ = 938649600. Its totient is φ = 165586752.

The previous prime is 430314119. The next prime is 430314161. The reversal of 430314140 is 41413034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (430314119) and next prime (430314161).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51581 + ... + 59339.

It is an arithmetic number, because the mean of its divisors is an integer number (19555200).

Almost surely, 2430314140 is an apocalyptic number.

It is an amenable number.

430314140 is an abundant number, since it is smaller than the sum of its proper divisors (508335460).

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

430314140 is a wasteful number, since it uses less digits than its factorization.

430314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 430314140 is about 20744.0145584214. The cubic root of 430314140 is about 754.9679912749.

Adding to 430314140 its reverse (41413034), we get a palindrome (471727174).

The spelling of 430314140 in words is "four hundred thirty million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 59 94 118 188 235 236 295 470 590 940 1180 2773 5546 7759 11092 13865 15518 27730 31036 38795 55460 77590 155180 364673 457781 729346 915562 1458692 1823365 1831124 2288905 3646730 4577810 7293460 9155620 21515707 43031414 86062828 107578535 215157070 430314140