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310431420 = 223351344221
BaseRepresentation
bin10010100000001…
…100111010111100
3210122010112212000
4102200030322330
51113432301140
650445342300
710456423605
oct2240147274
9718115760
10310431420
1114a2597a2
1287b67990
134c410b40
142d32adac
151c3bea30
hex1280cebc

310431420 has 96 divisors (see below), whose sum is σ = 1040101440. Its totient is φ = 76412160.

The previous prime is 310431419. The next prime is 310431421. The reversal of 310431420 is 24134013.

310431420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (310431419) and next prime (310431421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310431393 and 310431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310431421) by changing a digit.

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, 15091 + ... + 29130.

It is an arithmetic number, because the mean of its divisors is an integer number (10834390).

Almost surely, 2310431420 is an apocalyptic number.

310431420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310431420 is an abundant number, since it is smaller than the sum of its proper divisors (729670020).

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

310431420 is a wasteful number, since it uses less digits than its factorization.

310431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44252 (or 44244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 310431420 is about 17619.0641068134. The cubic root of 310431420 is about 677.1037574420.

Adding to 310431420 its reverse (24134013), we get a palindrome (334565433).

The spelling of 310431420 in words is "three hundred ten million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 44221 88442 132663 176884 221105 265326 397989 442210 530652 574873 663315 795978 884420 1149746 1193967 1326630 1591956 1724619 1989945 2299492 2387934 2653260 2874365 3449238 3979890 4775868 5173857 5748730 5969835 6898476 7959780 8623095 10347714 11497460 11939670 15521571 17246190 20695428 23879340 25869285 31043142 34492380 51738570 62086284 77607855 103477140 155215710 310431420