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3243242430 = 234519832539
BaseRepresentation
bin1100000101001111…
…1111001110111110
322101000201210020000
43001103333032332
523120232224210
61253453535130
7143241051201
oct30123771676
98330653200
103243242430
1114147a904a
127661a44a6
133c8bcc17c
1422aa43938
1513eae0ac0
hexc14ff3be

3243242430 has 160 divisors (see below), whose sum is σ = 9293961600. Its totient is φ = 809155008.

The previous prime is 3243242417. The next prime is 3243242447. The reversal of 3243242430 is 342423423.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3243242394 and 3243242403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1276101 + ... + 1278639.

It is an arithmetic number, because the mean of its divisors is an integer number (58087260).

Almost surely, 23243242430 is an apocalyptic number.

3243242430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646980800).

3243242430 is an abundant number, since it is smaller than the sum of its proper divisors (6050719170).

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

3243242430 is a wasteful number, since it uses less digits than its factorization.

3243242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3243242430 is about 56949.4726051085. The cubic root of 3243242430 is about 1480.2206923756.

Adding to 3243242430 its reverse (342423423), we get a palindrome (3585665853).

The spelling of 3243242430 in words is "three billion, two hundred forty-three million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 83 90 95 114 135 162 166 171 190 249 270 285 342 405 415 498 513 570 747 810 830 855 1026 1245 1494 1539 1577 1710 2241 2490 2539 2565 3078 3154 3735 4482 4731 5078 5130 6723 7470 7617 7695 7885 9462 11205 12695 13446 14193 15234 15390 15770 22410 22851 23655 25390 28386 33615 38085 42579 45702 47310 48241 67230 68553 70965 76170 85158 96482 114255 127737 137106 141930 144723 205659 210737 212895 228510 241205 255474 289446 342765 411318 421474 425790 434169 482410 632211 638685 685530 723615 868338 1028295 1053685 1264422 1277370 1302507 1447230 1896633 2056590 2107370 2170845 2605014 3161055 3793266 3907521 4004003 4341690 5689899 6322110 6512535 7815042 8008006 9483165 11379798 12012009 13025070 17069697 18966330 19537605 20020015 24024018 28449495 34139394 36036027 39075210 40040030 56898990 60060045 72072054 85348485 108108081 120120090 170696970 180180135 216216162 324324243 360360270 540540405 648648486 1081080810 1621621215 3243242430