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430055514 = 23373797317
BaseRepresentation
bin11001101000100…
…010000001011010
31002222020002021000
4121220202001122
51340043234024
6110401325430
713441261110
oct3150420132
91088202230
10430055514
11200834089
12100036876
136b135925
1441189ab0
1527b4dcc9
hex19a2205a

430055514 has 128 divisors (see below), whose sum is σ = 1136862720. Its totient is φ = 117946368.

The previous prime is 430055503. The next prime is 430055533. The reversal of 430055514 is 415550034.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable 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 63 ways as a sum of consecutive naturals, for example, 1356484 + ... + 1356800.

It is an arithmetic number, because the mean of its divisors is an integer number (8881740).

Almost surely, 2430055514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430055514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568431360).

430055514 is an abundant number, since it is smaller than the sum of its proper divisors (706807206).

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

430055514 is a wasteful number, since it uses less digits than its factorization.

430055514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 430055514 is about 20737.7798715292. The cubic root of 430055514 is about 754.8167114976.

The spelling of 430055514 in words is "four hundred thirty million, fifty-five thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 97 111 126 189 194 222 259 291 317 333 378 518 582 634 666 679 777 873 951 999 1358 1554 1746 1902 1998 2037 2219 2331 2619 2853 3589 4074 4438 4662 5238 5706 6111 6657 6993 7178 8559 10767 11729 12222 13314 13986 17118 18333 19971 21534 23458 25123 30749 32301 35187 36666 39942 50246 59913 61498 64602 70374 75369 82103 92247 96903 105561 119826 150738 164206 184494 193806 211122 215243 226107 246309 276741 316683 430486 452214 492618 553482 633366 645729 678321 738927 830223 1137713 1291458 1356642 1477854 1660446 1937187 2216781 2275426 3413139 3874374 4433562 5811561 6826278 7963991 10239417 11623122 15927982 20478834 23891973 30718251 47783946 61436502 71675919 143351838 215027757 430055514