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13684340 = 225684217
BaseRepresentation
bin110100001100…
…111001110100
3221202020101102
4310030321310
512000344330
61205145232
7224213015
oct64147164
927666342
1013684340
1177a727a
1246bb218
132ab1857
141b6300c
151304945
hexd0ce74

13684340 has 12 divisors (see below), whose sum is σ = 28737156. Its totient is φ = 5473728.

The previous prime is 13684331. The next prime is 13684357. The reversal of 13684340 is 4348631.

13684340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9265936 + 4418404 = 3044^2 + 2102^2 .

It is a super-2 number, since 2×136843402 = 374522322471200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342089 + ... + 342128.

It is an arithmetic number, because the mean of its divisors is an integer number (2394763).

Almost surely, 213684340 is an apocalyptic number.

13684340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13684340 is an abundant number, since it is smaller than the sum of its proper divisors (15052816).

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

13684340 is a wasteful number, since it uses less digits than its factorization.

13684340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684226 (or 684224 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 13684340 is about 3699.2350560623. The cubic root of 13684340 is about 239.1890452957.

The spelling of 13684340 in words is "thirteen million, six hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 684217 1368434 2736868 3421085 6842170 13684340