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13464396 = 2232113281
BaseRepresentation
bin110011010111…
…001101001100
3221100001200100
4303113031030
511421330041
61200331100
7222305541
oct63271514
927301610
1013464396
117667000
124613a90
132a356ca
141b06bc8
1512ae6b6
hexcd734c

13464396 has 72 divisors (see below), whose sum is σ = 37569168. Its totient is φ = 4065600.

The previous prime is 13464389. The next prime is 13464397. The reversal of 13464396 is 69346431.

13464396 is a `hidden beast` number, since 1 + 3 + 4 + 643 + 9 + 6 = 666.

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

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

Its product of digits (46656) is a multiple of the sum of its prime factors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 13464396.

It is not an unprimeable number, because it can be changed into a prime (13464397) 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 23 ways as a sum of consecutive naturals, for example, 47776 + ... + 48056.

It is an arithmetic number, because the mean of its divisors is an integer number (521794).

Almost surely, 213464396 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 13464396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784584).

13464396 is an abundant number, since it is smaller than the sum of its proper divisors (24104772).

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

13464396 is a wasteful number, since it uses less digits than its factorization.

13464396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13464396 is about 3669.3863247143. The cubic root of 13464396 is about 237.9006482196.

The spelling of 13464396 in words is "thirteen million, four hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 281 363 396 484 562 726 843 1089 1124 1331 1452 1686 2178 2529 2662 3091 3372 3993 4356 5058 5324 6182 7986 9273 10116 11979 12364 15972 18546 23958 27819 34001 37092 47916 55638 68002 102003 111276 136004 204006 306009 374011 408012 612018 748022 1122033 1224036 1496044 2244066 3366099 4488132 6732198 13464396