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431032420 = 2257213231471
BaseRepresentation
bin11001101100010…
…000100001100100
31010001001201022201
4121230100201210
51340321014140
6110434304244
713452500200
oct3154204144
91101051281
10431032420
11201341045
12100428084
136b3b8490
1441361b00
1527c9349a
hex19b10864

431032420 has 144 divisors (see below), whose sum is σ = 1184053248. Its totient is φ = 130394880.

The previous prime is 431032417. The next prime is 431032447. The reversal of 431032420 is 24230134.

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 47 ways as a sum of consecutive naturals, for example, 292285 + ... + 293755.

It is an arithmetic number, because the mean of its divisors is an integer number (8222592).

Almost surely, 2431032420 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 431032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592026624).

431032420 is an abundant number, since it is smaller than the sum of its proper divisors (753020828).

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

431032420 is a wasteful number, since it uses less digits than its factorization.

431032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 431032420 is about 20761.3202855695. The cubic root of 431032420 is about 755.3878217463.

Adding to 431032420 its reverse (24230134), we get a palindrome (455262554).

The spelling of 431032420 in words is "four hundred thirty-one million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 49 52 65 70 91 92 98 115 130 140 161 182 196 230 245 260 299 322 364 455 460 490 598 637 644 805 910 980 1127 1196 1274 1471 1495 1610 1820 2093 2254 2548 2942 2990 3185 3220 4186 4508 5635 5884 5980 6370 7355 8372 10297 10465 11270 12740 14651 14710 19123 20594 20930 22540 29302 29420 33833 38246 41188 41860 51485 58604 67666 72079 73255 76492 95615 102970 133861 135332 144158 146510 169165 191230 205940 236831 267722 288316 293020 338330 360395 382460 439829 473662 535444 669305 676660 720790 879658 937027 947324 1184155 1338610 1441580 1657817 1759316 1874054 2199145 2368310 2677220 3078803 3315634 3748108 4398290 4685135 4736620 6157606 6631268 8289085 8796580 9370270 12315212 15394015 16578170 18740540 21551621 30788030 33156340 43103242 61576060 86206484 107758105 215516210 431032420