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430241312 = 252331109173
BaseRepresentation
bin11001101001001…
…111011000100000
31002222120112010102
4121221033120200
51340120210222
6110405321532
713442663564
oct3151173040
91088515112
10430241312
11200950736
121001062a8
136b19c377
14411d76a4
1527b88d92
hex19a4f620

430241312 has 96 divisors (see below), whose sum is σ = 926069760. Its totient is φ = 196162560.

The previous prime is 430241309. The next prime is 430241323. The reversal of 430241312 is 213142034.

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, 2486858 + ... + 2487030.

It is an arithmetic number, because the mean of its divisors is an integer number (9646560).

Almost surely, 2430241312 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 430241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463034880).

430241312 is an abundant number, since it is smaller than the sum of its proper divisors (495828448).

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

430241312 is a wasteful number, since it uses less digits than its factorization.

430241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 430241312 is about 20742.2590862230. The cubic root of 430241312 is about 754.9253976548.

Adding to 430241312 its reverse (213142034), we get a palindrome (643383346).

The spelling of 430241312 in words is "four hundred thirty million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 109 124 173 184 218 248 346 368 436 496 692 713 736 872 992 1384 1426 1744 2507 2768 2852 3379 3488 3979 5014 5363 5536 5704 6758 7958 10028 10726 11408 13516 15916 18857 20056 21452 22816 27032 31832 37714 40112 42904 54064 63664 75428 77717 80224 85808 108128 123349 127328 150856 155434 171616 246698 301712 310868 433711 493396 584567 603424 621736 867422 986792 1169134 1243472 1734844 1973584 2338268 2486944 3469688 3947168 4676536 6939376 9353072 13445041 13878752 18706144 26890082 53780164 107560328 215120656 430241312