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430540950 = 235272193083
BaseRepresentation
bin11001101010011…
…000100010010110
31010000010202011010
4121222120202112
51340204302300
6110415553050
713445352300
oct3152304226
91100122133
10430540950
11201035874
1210022b786
136b275878
1441274970
1527be7a50
hex19a98896

430540950 has 144 divisors (see below), whose sum is σ = 1307862720. Its totient is φ = 93199680.

The previous prime is 430540949. The next prime is 430540987. The reversal of 430540950 is 59045034.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 138109 + ... + 141191.

It is an arithmetic number, because the mean of its divisors is an integer number (9082380).

Almost surely, 2430540950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430540950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653931360).

430540950 is an abundant number, since it is smaller than the sum of its proper divisors (877321770).

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

430540950 is a wasteful number, since it uses less digits than its factorization.

430540950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 430540950 is about 20749.4807163938. The cubic root of 430540950 is about 755.1006108337.

Adding to 430540950 its reverse (59045034), we get a palindrome (489585984).

The spelling of 430540950 in words is "four hundred thirty million, five hundred forty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 49 50 57 70 75 95 98 105 114 133 147 150 175 190 210 245 266 285 294 350 399 475 490 525 570 665 735 798 931 950 1050 1225 1330 1425 1470 1862 1995 2450 2793 2850 3083 3325 3675 3990 4655 5586 6166 6650 7350 9249 9310 9975 13965 15415 18498 19950 21581 23275 27930 30830 43162 46245 46550 58577 64743 69825 77075 92490 107905 117154 129486 139650 151067 154150 175731 215810 231225 292885 302134 323715 351462 410039 453201 462450 539525 585770 647430 755335 820078 878655 906402 1079050 1230117 1464425 1510670 1618575 1757310 2050195 2266005 2460234 2870273 2928850 3237150 3776675 4100390 4393275 4532010 5740546 6150585 7553350 8610819 8786550 10250975 11330025 12301170 14351365 17221638 20501950 22660050 28702730 30752925 43054095 61505850 71756825 86108190 143513650 215270475 430540950