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430053030 = 233511197621
BaseRepresentation
bin11001101000100…
…001011010100110
31002222012221212000
4121220201122212
51340043144110
6110401310130
713441250631
oct3150413246
91088187760
10430053030
11200832230
12100035346
136b134764
1441188c18
1527b4d1c0
hex19a216a6

430053030 has 128 divisors (see below), whose sum is σ = 1317081600. Its totient is φ = 98755200.

The previous prime is 430053023. The next prime is 430053031. The reversal of 430053030 is 30350034.

It is a happy number.

It is a super-2 number, since 2×4300530302 = 369891217224361800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 430052994 and 430053012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430053031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52620 + ... + 60240.

It is an arithmetic number, because the mean of its divisors is an integer number (10289700).

Almost surely, 2430053030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430053030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658540800).

430053030 is an abundant number, since it is smaller than the sum of its proper divisors (887028570).

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

430053030 is a wasteful number, since it uses less digits than its factorization.

430053030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 430053030 is about 20737.7199807501. The cubic root of 430053030 is about 754.8152582214.

The spelling of 430053030 in words is "four hundred thirty million, fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 7621 9405 11286 15242 18810 22863 28215 38105 45726 56430 68589 76210 83831 114315 137178 144799 167662 205767 228630 251493 289598 342945 411534 419155 434397 502986 685890 723995 754479 838310 868794 1028835 1257465 1303191 1447990 1508958 1592789 2057670 2171985 2263437 2514930 2606382 3185578 3772395 3909573 4343970 4526874 4778367 6515955 7544790 7819146 7963945 9556734 11317185 13031910 14335101 15927890 19547865 22634370 23891835 28670202 39095730 43005303 47783670 71675505 86010606 143351010 215026515 430053030