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1241345430 = 2325131922939
BaseRepresentation
bin100100111111101…
…0110110110010110
310012111210212210200
41021333112312112
510020241023210
6323102201330
742522155613
oct11177266626
93174725720
101241345430
11587786216
122a7883246
1316a23c530
14bac1350a
1573ea60c0
hex49fd6d96

1241345430 has 144 divisors (see below), whose sum is σ = 3669578640. Its totient is φ = 289381248.

The previous prime is 1241345419. The next prime is 1241345447. The reversal of 1241345430 is 345431421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1241345394 and 1241345403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 420901 + ... + 423839.

It is an arithmetic number, because the mean of its divisors is an integer number (25483185).

Almost surely, 21241345430 is an apocalyptic number.

1241345430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241345430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834789320).

1241345430 is an abundant number, since it is smaller than the sum of its proper divisors (2428233210).

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

1241345430 is a wasteful number, since it uses less digits than its factorization.

1241345430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1241345430 is about 35232.7323663664. The cubic root of 1241345430 is about 1074.7254911124.

Adding to 1241345430 its reverse (345431421), we get a palindrome (1586776851).

The spelling of 1241345430 in words is "one billion, two hundred forty-one million, three hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 361 390 494 570 585 722 741 855 1083 1170 1235 1482 1710 1805 2166 2223 2470 2939 3249 3610 3705 4446 4693 5415 5878 6498 7410 8817 9386 10830 11115 14079 14695 16245 17634 22230 23465 26451 28158 29390 32490 38207 42237 44085 46930 52902 55841 70395 76414 84474 88170 111682 114621 132255 140790 167523 191035 211185 229242 264510 279205 335046 343863 382070 422370 502569 558410 573105 687726 725933 837615 1005138 1060979 1146210 1451866 1675230 1719315 2121958 2177799 2512845 3182937 3438630 3629665 4355598 5025690 5304895 6365874 6533397 7259330 9548811 10609790 10888995 13066794 13792727 15914685 19097622 21777990 27585454 31829370 32666985 41378181 47744055 65333970 68963635 82756362 95488110 124134543 137927270 206890905 248269086 413781810 620672715 1241345430