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30132423240 = 23351795412593
BaseRepresentation
bin11100000100000010…
…000100101001001000
32212202222110200220120
4130010002010221020
5443202400020430
621502002223240
72114465241303
oct340402045110
985688420816
1030132423240
1111862a70627
125a0b354b20
132ac294b84a
14165bc79b3a
15bb5585610
hex704084a48

30132423240 has 128 divisors (see below), whose sum is σ = 91105430400. Its totient is φ = 7972577280.

The previous prime is 30132423203. The next prime is 30132423311. The reversal of 30132423240 is 4232423103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30132423240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11619384 + ... + 11621976.

It is an arithmetic number, because the mean of its divisors is an integer number (711761175).

Almost surely, 230132423240 is an apocalyptic number.

30132423240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45552715200).

30132423240 is an abundant number, since it is smaller than the sum of its proper divisors (60973007160).

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

30132423240 is a wasteful number, since it uses less digits than its factorization.

30132423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30132423240 its reverse (4232423103), we get a palindrome (34364846343).

The spelling of 30132423240 in words is "thirty billion, one hundred thirty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 541 716 895 1074 1082 1432 1623 1790 2148 2164 2593 2685 2705 3246 3580 4296 4328 5186 5370 5410 6492 7160 7779 8115 10372 10740 10820 12965 12984 15558 16230 20744 21480 21640 25930 31116 32460 38895 51860 62232 64920 77790 96839 103720 155580 193678 290517 311160 387356 464147 484195 581034 774712 928294 968390 1162068 1392441 1402813 1452585 1856588 1936780 2320735 2324136 2784882 2805626 2905170 3713176 3873560 4208439 4641470 5569764 5611252 5810340 6962205 7014065 8416878 9282940 11139528 11222504 11620680 13924410 14028130 16833756 18565880 21042195 27848820 28056260 33667512 42084390 55697640 56112520 84168780 168337560 251103527 502207054 753310581 1004414108 1255517635 1506621162 2008828216 2511035270 3013242324 3766552905 5022070540 6026484648 7533105810 10044141080 15066211620 30132423240