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1343310320 = 245119715737
BaseRepresentation
bin101000000010001…
…0100100111110000
310110121200020100002
41100010110213300
510222341412240
6341143445132
745200643422
oct12004244760
93417606302
101343310320
1162a299a20
12315a567a8
131853c04a1
14ca596812
157cde7d15
hex501149f0

1343310320 has 80 divisors (see below), whose sum is σ = 3442467168. Its totient is φ = 483409920.

The previous prime is 1343310313. The next prime is 1343310323. The reversal of 1343310320 is 230133431.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1343310292 and 1343310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343310323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77492 + ... + 93228.

Almost surely, 21343310320 is an apocalyptic number.

1343310320 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 1343310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721233584).

1343310320 is an abundant number, since it is smaller than the sum of its proper divisors (2099156848).

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

1343310320 is a wasteful number, since it uses less digits than its factorization.

1343310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858 (or 15852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1343310320 is about 36651.1980704588. The cubic root of 1343310320 is about 1103.3808709104.

Adding to 1343310320 its reverse (230133431), we get a palindrome (1573443751).

The spelling of 1343310320 in words is "one billion, three hundred forty-three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 15737 17072 21340 31474 42680 62948 78685 85360 125896 157370 173107 251792 314740 346214 629480 692428 865535 1258960 1384856 1526489 1731070 2769712 3052978 3462140 6105956 6924280 7632445 12211912 13848560 15264890 16791379 24423824 30529780 33582758 61059560 67165516 83956895 122119120 134331032 167913790 268662064 335827580 671655160 1343310320