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1218818340 = 223452333229
BaseRepresentation
bin100100010100101…
…1011000100100100
310010221102101110000
41020221123010210
54444004141330
6320535301300
742126533145
oct11051330444
93127371400
101218818340
11575a9a293
122a021a830
13165682aac
14b7c2bacc
1572006560
hex48a5b124

1218818340 has 120 divisors (see below), whose sum is σ = 3841077240. Its totient is φ = 323523072.

The previous prime is 1218818317. The next prime is 1218818407. The reversal of 1218818340 is 438188121.

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 1214383104 = 2106^2 + 34848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1218818295 and 1218818304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375846 + ... + 379074.

It is an arithmetic number, because the mean of its divisors is an integer number (32008977).

Almost surely, 21218818340 is an apocalyptic number.

1218818340 is a gapful number since it is divisible by the number (10) 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 1218818340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920538620).

1218818340 is an abundant number, since it is smaller than the sum of its proper divisors (2622258900).

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

1218818340 is a wasteful number, since it uses less digits than its factorization.

1218818340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1218818340 is about 34911.5788815115. The cubic root of 1218818340 is about 1068.1846354184.

The spelling of 1218818340 in words is "one billion, two hundred eighteen million, eight hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 233 270 324 405 466 540 699 810 932 1165 1398 1620 2097 2330 2796 3229 3495 4194 4660 6291 6458 6990 8388 9687 10485 12582 12916 13980 16145 18873 19374 20970 25164 29061 31455 32290 37746 38748 41940 48435 58122 62910 64580 75492 87183 94365 96870 116244 125820 145305 174366 188730 193740 261549 290610 348732 377460 435915 523098 581220 752357 871830 1046196 1307745 1504714 1743660 2257071 2615490 3009428 3761785 4514142 5230980 6771213 7523570 9028284 11285355 13542426 15047140 20313639 22570710 27084852 33856065 40627278 45141420 60940917 67712130 81254556 101568195 121881834 135424260 203136390 243763668 304704585 406272780 609409170 1218818340