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42431310 = 2335413833
BaseRepresentation
bin1010000111011…
…1001101001110
32221211201211000
42201313031032
541330300220
64113241130
71023442305
oct241671516
987751730
1042431310
1121a512a9
12122631a6
138a383ac
1458c743c
153ad2390
hex287734e

42431310 has 64 divisors (see below), whose sum is σ = 115940160. Its totient is φ = 11036160.

The previous prime is 42431273. The next prime is 42431317. The reversal of 42431310 is 1313424.

It is a super-2 number, since 2×424313102 = 3600832136632200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9154 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (1811565).

Almost surely, 242431310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57970080).

42431310 is an abundant number, since it is smaller than the sum of its proper divisors (73508850).

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

42431310 is a wasteful number, since it uses less digits than its factorization.

42431310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3884 counting only the distinct ones).

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

The square root of 42431310 is about 6513.9319922762. The cubic root of 42431310 is about 348.7884915314.

Adding to 42431310 its reverse (1313424), we get a palindrome (43744734).

The spelling of 42431310 in words is "forty-two million, four hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 3833 5535 7666 11070 11499 19165 22998 34497 38330 57495 68994 103491 114990 157153 172485 206982 314306 344970 471459 517455 785765 942918 1034910 1414377 1571530 2357295 2828754 4243131 4714590 7071885 8486262 14143770 21215655 42431310