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13303344 = 2431929503
BaseRepresentation
bin110010101111…
…111000110000
3221000212202110
4302233320300
511401201334
61153045320
7221035155
oct62577060
927025673
1013303344
117566aaa
124556840
1329aa302
141aa422c
15127bae9
hexcafe30

13303344 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4048128.

The previous prime is 13303343. The next prime is 13303351. The reversal of 13303344 is 44330331.

It is a self number, because there is not a number n which added to its sum of digits gives 13303344.

It is not an unprimeable number, because it can be changed into a prime (13303343) 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, 26197 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 213303344 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 13303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13303344 is an abundant number, since it is smaller than the sum of its proper divisors (24194256).

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

13303344 is a wasteful number, since it uses less digits than its factorization.

13303344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 13303344 is about 3647.3749464512. The cubic root of 13303344 is about 236.9483054123.

Adding to 13303344 its reverse (44330331), we get a palindrome (57633675).

The spelling of 13303344 in words is "thirteen million, three hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 503 551 696 912 1006 1102 1392 1509 1653 2012 2204 3018 3306 4024 4408 6036 6612 8048 8816 9557 12072 13224 14587 19114 24144 26448 28671 29174 38228 43761 57342 58348 76456 87522 114684 116696 152912 175044 229368 233392 277153 350088 458736 554306 700176 831459 1108612 1662918 2217224 3325836 4434448 6651672 13303344