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430424214 = 2311194767109
BaseRepresentation
bin11001101001111…
…100000010010110
31002222220211000120
4121221330002112
51340142033324
6110413252410
713444355043
oct3151740226
91088824016
10430424214
11200a660a0
12100194106
136b2346ac
14412441ca
1527bc3179
hex19a7c096

430424214 has 128 divisors (see below), whose sum is σ = 1034035200. Its totient is φ = 118039680.

The previous prime is 430424213. The next prime is 430424237. The reversal of 430424214 is 412424034.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430424213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3948792 + ... + 3948900.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2430424214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430424214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517017600).

430424214 is an abundant number, since it is smaller than the sum of its proper divisors (603610986).

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

430424214 is a wasteful number, since it uses less digits than its factorization.

430424214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 430424214 is about 20746.6675396315. The cubic root of 430424214 is about 755.0323591821.

Adding to 430424214 its reverse (412424034), we get a palindrome (842848248).

The spelling of 430424214 in words is "four hundred thirty million, four hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 67 94 109 114 134 141 201 209 218 282 327 402 418 517 627 654 737 893 1034 1199 1254 1273 1474 1551 1786 2071 2211 2398 2546 2679 3102 3149 3597 3819 4142 4422 5123 5358 6213 6298 7194 7303 7638 9447 9823 10246 12426 14003 14606 15369 18894 19646 21909 22781 28006 29469 30738 34639 42009 43818 45562 56353 58938 59831 68343 69278 80333 84018 97337 103917 112706 119662 136686 138757 160666 169059 179493 194674 207834 240999 277514 292011 338118 343241 358986 416271 481998 584022 658141 686482 832542 1029723 1070707 1316282 1526327 1974423 2059446 2141414 3052654 3212121 3775651 3948846 4578981 6424242 6521579 7551302 9157962 11326953 13043158 19564737 22653906 39129474 71737369 143474738 215212107 430424214