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42311430 = 2335761367
BaseRepresentation
bin1010000101100…
…1111100000110
32221121122101000
42201121330012
541312431210
64110514130
71022432640
oct241317406
987548330
1042311430
112197a227
1212205946
1389c5965
145895890
153aabac0
hex2859f06

42311430 has 128 divisors (see below), whose sum is σ = 131420160. Its totient is φ = 9486720.

The previous prime is 42311417. The next prime is 42311431. The reversal of 42311430 is 3411324.

42311430 is a `hidden beast` number, since 4 + 231 + 1 + 430 = 666.

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 (42311431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115107 + ... + 115473.

It is an arithmetic number, because the mean of its divisors is an integer number (1026720).

Almost surely, 242311430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65710080).

42311430 is an abundant number, since it is smaller than the sum of its proper divisors (89108730).

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

42311430 is a wasteful number, since it uses less digits than its factorization.

42311430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

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

The square root of 42311430 is about 6504.7236682276. The cubic root of 42311430 is about 348.4597075606.

Adding to 42311430 its reverse (3411324), we get a palindrome (45722754).

The spelling of 42311430 in words is "forty-two million, three hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 367 378 427 549 610 630 734 854 915 945 1098 1101 1281 1647 1830 1835 1890 2135 2202 2562 2569 2745 3294 3303 3670 3843 4270 5138 5490 5505 6405 6606 7686 7707 8235 9909 11010 11529 12810 12845 15414 16470 16515 19215 19818 22387 23058 23121 25690 33030 38430 38535 44774 46242 49545 57645 67161 69363 77070 99090 111935 115290 115605 134322 138726 156709 201483 223870 231210 313418 335805 346815 402966 470127 604449 671610 693630 783545 940254 1007415 1208898 1410381 1567090 2014830 2350635 2820762 3022245 4231143 4701270 6044490 7051905 8462286 14103810 21155715 42311430