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1343411340 = 2235194725073
BaseRepresentation
bin101000000010010…
…1101010010001100
310110121212100220120
41100010231102030
510222403130330
6341145544540
745201544065
oct12004552214
93417770816
101343411340
1162a358907
12315aa5150
1318542746b
14ca5c156c
157ce17c10
hex5012d48c

1343411340 has 96 divisors (see below), whose sum is σ = 4043934720. Its totient is φ = 332153856.

The previous prime is 1343411339. The next prime is 1343411369. The reversal of 1343411340 is 431143431.

It is a super-3 number, since 3×13434113403 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1343411340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41044 + ... + 66116.

It is an arithmetic number, because the mean of its divisors is an integer number (42124320).

Almost surely, 21343411340 is an apocalyptic number.

1343411340 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 1343411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021967360).

1343411340 is an abundant number, since it is smaller than the sum of its proper divisors (2700523380).

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

1343411340 is a wasteful number, since it uses less digits than its factorization.

1343411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1343411340 is about 36652.5761713962. The cubic root of 1343411340 is about 1103.4085291365.

Adding to 1343411340 its reverse (431143431), we get a palindrome (1774554771).

The spelling of 1343411340 in words is "one billion, three hundred forty-three million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2679 2820 3572 4465 5358 8930 10716 13395 17860 25073 26790 50146 53580 75219 100292 125365 150438 250730 300876 376095 476387 501460 752190 952774 1178431 1429161 1504380 1905548 2356862 2381935 2858322 3535293 4713724 4763870 5716644 5892155 7070586 7145805 9527740 11784310 14141172 14291610 17676465 22390189 23568620 28583220 35352930 44780378 67170567 70705860 89560756 111950945 134341134 223901890 268682268 335852835 447803780 671705670 1343411340