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13321344 = 273113307
BaseRepresentation
bin110010110100…
…010010000000
3221001210110010
4302310102000
511402240334
61153304520
7221141511
oct62642200
927053403
1013321344
117579583
124565140
1329b556a
141aaaa08
1512820e9
hexcb4480

13321344 has 64 divisors (see below), whose sum is σ = 35814240. Its totient is φ = 4386816.

The previous prime is 13321339. The next prime is 13321349. The reversal of 13321344 is 44312331.

It is an interprime number because it is at equal distance from previous prime (13321339) and next prime (13321349).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13321344.

It is not an unprimeable number, because it can be changed into a prime (13321349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43239 + ... + 43545.

Almost surely, 213321344 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 13321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907120).

13321344 is an abundant number, since it is smaller than the sum of its proper divisors (22492896).

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

13321344 is a wasteful number, since it uses less digits than its factorization.

13321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 13321344 is about 3649.8416404003. The cubic root of 13321344 is about 237.0551243528.

Adding to 13321344 its reverse (44312331), we get a palindrome (57633675).

The spelling of 13321344 in words is "thirteen million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 307 339 384 452 614 678 904 921 1228 1356 1808 1842 2456 2712 3616 3684 4912 5424 7232 7368 9824 10848 14464 14736 19648 21696 29472 34691 39296 43392 58944 69382 104073 117888 138764 208146 277528 416292 555056 832584 1110112 1665168 2220224 3330336 4440448 6660672 13321344