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13306302 = 233292293
BaseRepresentation
bin110010110000…
…100110111110
3221001000211000
4302300212332
511401300202
61153111130
7221046612
oct62604676
927030730
1013306302
117569249
1245584a6
1329ab769
141aa5342
15127c91c
hexcb09be

13306302 has 48 divisors (see below), whose sum is σ = 30728880. Its totient is φ = 4267872.

The previous prime is 13306283. The next prime is 13306303. The reversal of 13306302 is 20360331.

It is a happy number.

13306302 is a `hidden beast` number, since 1 + 3 + 30 + 630 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13306303) 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, 45268 + ... + 45560.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 213306302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13306302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364440).

13306302 is an abundant number, since it is smaller than the sum of its proper divisors (17422578).

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

13306302 is a wasteful number, since it uses less digits than its factorization.

13306302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 327 counting only the distinct ones).

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

The square root of 13306302 is about 3647.7804210232. The cubic root of 13306302 is about 236.9658659381.

Adding to 13306302 its reverse (20360331), we get a palindrome (33666633).

The spelling of 13306302 in words is "thirteen million, three hundred six thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 293 522 586 783 841 879 1566 1682 1758 2523 2637 5046 5274 7569 7911 8497 15138 15822 16994 22707 25491 45414 50982 76473 152946 229419 246413 458838 492826 739239 1478478 2217717 4435434 6653151 13306302