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13824306 = 232811947
BaseRepresentation
bin110100101111…
…000100110010
3222000100101100
4310233010302
512014334211
61212145230
7225335046
oct64570462
928010340
1013824306
117892451
124768216
132b30482
141b9c026
151331156
hexd2f132

13824306 has 24 divisors (see below), whose sum is σ = 30021264. Its totient is φ = 4597560.

The previous prime is 13824301. The next prime is 13824319. The reversal of 13824306 is 60342831.

It is a happy number.

13824306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138243062 = 382222872763272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13824306.

It is not an unprimeable number, because it can be changed into a prime (13824301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14125 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (1250886).

Almost surely, 213824306 is an apocalyptic number.

13824306 is an abundant number, since it is smaller than the sum of its proper divisors (16196958).

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

13824306 is a wasteful number, since it uses less digits than its factorization.

13824306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13824306 is about 3718.1051625795. The cubic root of 13824306 is about 240.0017708203.

The spelling of 13824306 in words is "thirteen million, eight hundred twenty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 811 947 1622 1894 2433 2841 4866 5682 7299 8523 14598 17046 768017 1536034 2304051 4608102 6912153 13824306