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13303314 = 2326411153
BaseRepresentation
bin110010101111…
…111000010010
3221000212201100
4302233320102
511401201224
61153045230
7221035113
oct62577022
927025640
1013303314
117566a82
124556816
1329aa2ab
141aa420a
15127bac9
hexcafe12

13303314 has 24 divisors (see below), whose sum is σ = 28893852. Its totient is φ = 4423680.

The previous prime is 13303289. The next prime is 13303321. The reversal of 13303314 is 41330331.

13303314 is a `hidden beast` number, since 1 + 330 + 331 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11390625 + 1912689 = 3375^2 + 1383^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10962 + ... + 12114.

Almost surely, 213303314 is an apocalyptic number.

13303314 is an abundant number, since it is smaller than the sum of its proper divisors (15590538).

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

13303314 is a wasteful number, since it uses less digits than its factorization.

13303314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13303314 is about 3647.3708339021. The cubic root of 13303314 is about 236.9481273003.

Adding to 13303314 its reverse (41330331), we get a palindrome (54633645).

The spelling of 13303314 in words is "thirteen million, three hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 641 1153 1282 1923 2306 3459 3846 5769 6918 10377 11538 20754 739073 1478146 2217219 4434438 6651657 13303314