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1343903340 = 2235132323257
BaseRepresentation
bin101000000011010…
…0101011001101100
310110122210100210210
41100012211121230
510223014401330
6341204302420
745205663353
oct12006453154
93418710723
101343903340
1162a66451a
123160a1a10
1318556a3a0
14ca6ac99a
157ceb38b0
hex501a566c

1343903340 has 144 divisors (see below), whose sum is σ = 4237537248. Its totient is φ = 316326912.

The previous prime is 1343903339. The next prime is 1343903347. The reversal of 1343903340 is 433093431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1343903298 and 1343903307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343903347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410992 + ... + 414248.

It is an arithmetic number, because the mean of its divisors is an integer number (29427342).

Almost surely, 21343903340 is an apocalyptic number.

1343903340 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 1343903340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118768624).

1343903340 is an abundant number, since it is smaller than the sum of its proper divisors (2893633908).

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

1343903340 is a wasteful number, since it uses less digits than its factorization.

1343903340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 1343903340 is about 36659.2872271134. The cubic root of 1343903340 is about 1103.5432138060.

Adding to 1343903340 its reverse (433093431), we get a palindrome (1776996771).

The spelling of 1343903340 in words is "one billion, three hundred forty-three million, nine hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 529 598 690 780 897 1058 1196 1380 1495 1587 1794 2116 2645 2990 3174 3257 3588 4485 5290 5980 6348 6514 6877 7935 8970 9771 10580 13028 13754 15870 16285 17940 19542 20631 27508 31740 32570 34385 39084 41262 42341 48855 65140 68770 74911 82524 84682 97710 103155 127023 137540 149822 169364 195420 206310 211705 224733 254046 299644 374555 412620 423410 449466 508092 635115 749110 846820 898932 973843 1123665 1270230 1498220 1722953 1947686 2247330 2540460 2921529 3445906 3895372 4494660 4869215 5168859 5843058 6891812 8614765 9738430 10337718 11686116 14607645 17229530 19476860 20675436 22398389 25844295 29215290 34459060 44796778 51688590 58430580 67195167 89593556 103377180 111991945 134390334 223983890 268780668 335975835 447967780 671951670 1343903340