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430230416 = 247111372549
BaseRepresentation
bin11001101001001…
…100101110010000
31002222112222011212
4121221030232100
51340114333131
6110405155252
713442620040
oct3151145620
91088488155
10430230416
11200943530
121000bbb28
136b197415
14411d3720
1527b85a2b
hex19a4cb90

430230416 has 80 divisors (see below), whose sum is σ = 1047254400. Its totient is φ = 166333440.

The previous prime is 430230401. The next prime is 430230421. The reversal of 430230416 is 614032034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430230391 and 430230400.

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 15 ways as a sum of consecutive naturals, for example, 167510 + ... + 170058.

It is an arithmetic number, because the mean of its divisors is an integer number (13090680).

Almost surely, 2430230416 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 430230416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523627200).

430230416 is an abundant number, since it is smaller than the sum of its proper divisors (617023984).

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

430230416 is a wasteful number, since it uses less digits than its factorization.

430230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 430230416 is about 20741.9964323592. The cubic root of 430230416 is about 754.9190246913.

The spelling of 430230416 in words is "four hundred thirty million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 137 154 176 274 308 548 616 959 1096 1232 1507 1918 2192 2549 3014 3836 5098 6028 7672 10196 10549 12056 15344 17843 20392 21098 24112 28039 35686 40784 42196 56078 71372 84392 112156 142744 168784 196273 224312 285488 349213 392546 448624 698426 785092 1396852 1570184 2444491 2793704 3140368 3841343 4888982 5587408 7682686 9777964 15365372 19555928 26889401 30730744 39111856 53778802 61461488 107557604 215115208 430230416