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1343221344 = 2532231991019
BaseRepresentation
bin101000000001111…
…1110111001100000
310110121111201021200
41100003332321200
510222331040334
6341141521200
745200123133
oct12003767140
93417451250
101343221344
1162a239093
12315a13200
1318538bb3a
14ca57221a
157cdcb799
hex500fee60

1343221344 has 144 divisors (see below), whose sum is σ = 4009824000. Its totient is φ = 425703168.

The previous prime is 1343221339. The next prime is 1343221349. The reversal of 1343221344 is 4431223431.

1343221344 is a `hidden beast` number, since 13 + 432 + 213 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1343221339) and next prime (1343221349).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343221349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317667 + ... + 1318685.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 21343221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1343221344 is an abundant number, since it is smaller than the sum of its proper divisors (2666602656).

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

1343221344 is a wasteful number, since it uses less digits than its factorization.

1343221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1343221344 is about 36649.9842291917. The cubic root of 1343221344 is about 1103.3565090578.

Adding to 1343221344 its reverse (4431223431), we get a palindrome (5774444775).

The spelling of 1343221344 in words is "one billion, three hundred forty-three million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 199 207 276 288 368 398 414 552 597 736 796 828 1019 1104 1194 1592 1656 1791 2038 2208 2388 3057 3184 3312 3582 4076 4577 4776 6114 6368 6624 7164 8152 9154 9171 9552 12228 13731 14328 16304 18308 18342 19104 23437 24456 27462 28656 32608 36616 36684 41193 46874 48912 54924 57312 70311 73232 73368 82386 93748 97824 109848 140622 146464 146736 164772 187496 202781 210933 219696 281244 293472 329544 374992 405562 421866 439392 562488 608343 659088 749984 811124 843732 1124976 1216686 1318176 1622248 1687464 1825029 2249952 2433372 3244496 3374928 3650058 4663963 4866744 6488992 6749856 7300116 9327926 9733488 13991889 14600232 18655852 19466976 27983778 29200464 37311704 41975667 55967556 58400928 74623408 83951334 111935112 149246816 167902668 223870224 335805336 447740448 671610672 1343221344