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1343353248 = 25344711027
BaseRepresentation
bin101000000010001…
…1111000110100000
310110121202102020000
41100010133012200
510222344300443
6341144420000
745201212526
oct12004370640
93417672200
101343353248
1162a3191a6
12315a77600
13185406ba3
14ca5a8316
157ce058d3
hex5011f1a0

1343353248 has 120 divisors (see below), whose sum is σ = 4035189312. Its totient is φ = 438217344.

The previous prime is 1343353247. The next prime is 1343353259. The reversal of 1343353248 is 8423533431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1343353247) 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 19 ways as a sum of consecutive naturals, for example, 116311 + ... + 127337.

Almost surely, 21343353248 is an apocalyptic number.

1343353248 is a gapful number since it is divisible by the number (18) 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 1343353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017594656).

1343353248 is an abundant number, since it is smaller than the sum of its proper divisors (2691836064).

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

1343353248 is a wasteful number, since it uses less digits than its factorization.

1343353248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 11079 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1343353248 is about 36651.7836946580. The cubic root of 1343353248 is about 1103.3926243201.

Adding to 1343353248 its reverse (8423533431), we get a palindrome (9766886679).

The spelling of 1343353248 in words is "one billion, three hundred forty-three million, three hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 11027 13536 15228 20304 22054 30456 33081 40608 44108 60912 66162 88216 99243 121824 132324 176432 198486 264648 297729 352864 396972 518269 529296 595458 793944 893187 1036538 1058592 1190916 1554807 1587888 1786374 2073076 2381832 3109614 3175776 3572748 4146152 4664421 4763664 6219228 7145496 8292304 9328842 9527328 12438456 13993263 14290992 16584608 18657684 24876912 27986526 28581984 37315368 41979789 49753824 55973052 74630736 83959578 111946104 149261472 167919156 223892208 335838312 447784416 671676624 1343353248