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430495016 = 23731437379
BaseRepresentation
bin11001101010001…
…101010100101000
31010000001102010212
4121222031110220
51340201320031
6110415000252
713445101340
oct3152152450
91100042125
10430495016
11201004306
12100209088
136b25a9a3
1441261d20
1527bd912b
hex19a8d528

430495016 has 128 divisors (see below), whose sum is σ = 1000243200. Its totient is φ = 169827840.

The previous prime is 430495003. The next prime is 430495049. The reversal of 430495016 is 610594034.

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 31 ways as a sum of consecutive naturals, for example, 5449265 + ... + 5449343.

It is an arithmetic number, because the mean of its divisors is an integer number (7814400).

Almost surely, 2430495016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430495016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500121600).

430495016 is an abundant number, since it is smaller than the sum of its proper divisors (569748184).

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

430495016 is a wasteful number, since it uses less digits than its factorization.

430495016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 430495016 is about 20748.3738157958. The cubic root of 430495016 is about 755.0737562259.

The spelling of 430495016 in words is "four hundred thirty million, four hundred ninety-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 73 79 86 124 146 158 172 217 248 292 301 316 344 434 511 553 584 602 632 868 1022 1106 1204 1333 1736 2044 2212 2263 2408 2449 2666 3139 3397 4088 4424 4526 4898 5332 5767 6278 6794 9052 9331 9796 10664 11534 12556 13588 15841 17143 18104 18662 19592 21973 23068 23779 25112 27176 31682 34286 37324 40369 43946 46136 47558 63364 68572 74648 80738 87892 95116 97309 105307 126728 137144 161476 175784 178777 190232 194618 210614 247981 322952 357554 389236 421228 495962 681163 715108 737149 778472 842456 991924 1251439 1362326 1430216 1474298 1735867 1983848 2502878 2724652 2948596 3471734 5005756 5449304 5897192 6943468 7687411 10011512 13886936 15374822 30749644 53811877 61499288 107623754 215247508 430495016