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13411314 = 2327163653
BaseRepresentation
bin110011001010…
…001111110010
3221020100212100
4303022033302
511413130224
61155241230
7221665020
oct63121762
927210770
1013411314
117630134
1245a9216
132a174b7
141ad1710
15129dac9
hexcca3f2

13411314 has 48 divisors (see below), whose sum is σ = 33463872. Its totient is φ = 3802464.

The previous prime is 13411303. The next prime is 13411337. The reversal of 13411314 is 41311431.

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 23 ways as a sum of consecutive naturals, for example, 20212 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (697164).

Almost surely, 213411314 is an apocalyptic number.

13411314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731936).

13411314 is an abundant number, since it is smaller than the sum of its proper divisors (20052558).

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

13411314 is a wasteful number, since it uses less digits than its factorization.

13411314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 828 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 13411314 is about 3662.1460921159. The cubic root of 13411314 is about 237.5876035093.

Adding to 13411314 its reverse (41311431), we get a palindrome (54722745).

The spelling of 13411314 in words is "thirteen million, four hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 653 978 1141 1306 1467 1959 2282 2934 3423 3918 4571 5877 6846 9142 10269 11754 13713 20538 27426 41139 82278 106439 212878 319317 638634 745073 957951 1490146 1915902 2235219 4470438 6705657 13411314