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1343220320 = 255131737987
BaseRepresentation
bin101000000001111…
…1110101001100000
310110121111122212202
41100003332221200
510222331022240
6341141512332
745200120141
oct12003765140
93417448782
101343220320
1162a238342
12315a126a8
1318538b530
14ca571ac8
157cdcb315
hex500fea60

1343220320 has 96 divisors (see below), whose sum is σ = 3618584928. Its totient is φ = 466771968.

The previous prime is 1343220317. The next prime is 1343220323. The reversal of 1343220320 is 230223431.

It is an interprime number because it is at equal distance from previous prime (1343220317) and next prime (1343220323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1343220292 and 1343220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343220323) 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 15 ways as a sum of consecutive naturals, for example, 16367 + ... + 54353.

It is an arithmetic number, because the mean of its divisors is an integer number (37693593).

Almost surely, 21343220320 is an apocalyptic number.

1343220320 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 1343220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809292464).

1343220320 is an abundant number, since it is smaller than the sum of its proper divisors (2275364608).

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

1343220320 is a wasteful number, since it uses less digits than its factorization.

1343220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38032 (or 38024 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1343220320 is about 36649.9702591967. The cubic root of 1343220320 is about 1103.3562286778.

Adding to 1343220320 its reverse (230223431), we get a palindrome (1573443751).

The spelling of 1343220320 in words is "one billion, three hundred forty-three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 37987 75974 151948 189935 303896 379870 493831 607792 645779 759740 987662 1215584 1291558 1519480 1975324 2469155 2583116 3038960 3228895 3950648 4938310 5166232 6077920 6457790 7901296 8395127 9876620 10332464 12915580 15802592 16790254 19753240 20664928 25831160 33580508 39506480 41975635 51662320 67161016 79012960 83951270 103324640 134322032 167902540 268644064 335805080 671610160 1343220320