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4242230340 = 2235314748527
BaseRepresentation
bin1111110011011011…
…0100110001000100
3101221122111122000020
43330312310301010
532142002332330
61540541415140
7210061235325
oct37466646104
911848448006
104242230340
1118876a0497
129a486a4b0
13527b7378a
142c35aa44c
1519c672210
hexfcdb4c44

4242230340 has 96 divisors (see below), whose sum is σ = 12522553344. Its totient is φ = 1071454080.

The previous prime is 4242230233. The next prime is 4242230351. The reversal of 4242230340 is 430322424.

It is a self number, because there is not a number n which added to its sum of digits gives 4242230340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63157 + ... + 111683.

It is an arithmetic number, because the mean of its divisors is an integer number (130443264).

Almost surely, 24242230340 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 4242230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261276672).

4242230340 is an abundant number, since it is smaller than the sum of its proper divisors (8280323004).

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

4242230340 is a wasteful number, since it uses less digits than its factorization.

4242230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48617 (or 48615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4242230340 is about 65132.4062199455. The cubic root of 4242230340 is about 1618.8182129343.

Adding to 4242230340 its reverse (430322424), we get a palindrome (4672552764).

The spelling of 4242230340 in words is "four billion, two hundred forty-two million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 1410 1457 1860 2820 2914 4371 5828 7285 8742 14570 17484 21855 29140 43710 48527 87420 97054 145581 194108 242635 291162 485270 582324 727905 970540 1455810 1504337 2280769 2911620 3008674 4513011 4561538 6017348 6842307 7521685 9026022 9123076 11403845 13684614 15043370 18052044 22565055 22807690 27369228 30086740 34211535 45130110 45615380 68423070 70703839 90260220 136846140 141407678 212111517 282815356 353519195 424223034 707038390 848446068 1060557585 1414076780 2121115170 4242230340