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13978341 = 3213373229
BaseRepresentation
bin110101010100…
…101011100101
3222022011200100
4311110223211
512034301331
61215334313
7226546116
oct65245345
928264610
1013978341
117988153
124821399
132b85610
141bdc20d
151361ae6
hexd54ae5

13978341 has 24 divisors (see below), whose sum is σ = 22338680. Its totient is φ = 8366976.

The previous prime is 13978337. The next prime is 13978421. The reversal of 13978341 is 14387931.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1404225 + 12574116 = 1185^2 + 3546^2 .

It is not a de Polignac number, because 13978341 - 22 = 13978337 is a prime.

It is a super-2 number, since 2×139783412 = 390788034224562, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13978296 and 13978305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13971341) 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, 2715 + ... + 5943.

Almost surely, 213978341 is an apocalyptic number.

It is an amenable number.

13978341 is a deficient number, since it is larger than the sum of its proper divisors (8360339).

13978341 is a wasteful number, since it uses less digits than its factorization.

13978341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13978341 is about 3738.7619608635. The cubic root of 13978341 is about 240.8898735267.

The spelling of 13978341 in words is "thirteen million, nine hundred seventy-eight thousand, three hundred forty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 3229 4329 9687 29061 41977 119473 125931 358419 377793 1075257 1553149 4659447 13978341