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34413631 = 724316333
BaseRepresentation
bin1000001101000…
…1110000111111
32101202101121221
42003101300333
532302214011
63225334211
7565340200
oct203216077
971671557
1034413631
111847551a
12b637367
13718bbc5
1447db5a7
15304b971
hex20d1c3f

34413631 has 12 divisors (see below), whose sum is σ = 40965672. Its totient is φ = 28809648.

The previous prime is 34413623. The next prime is 34413703. The reversal of 34413631 is 13631443.

It is a happy number.

34413631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34413631 - 23 = 34413623 is a prime.

It is a super-2 number, since 2×344136312 = 2368595997208322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34413596 and 34413605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413601) 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 11 ways as a sum of consecutive naturals, for example, 6060 + ... + 10273.

It is an arithmetic number, because the mean of its divisors is an integer number (3413806).

Almost surely, 234413631 is an apocalyptic number.

34413631 is a deficient number, since it is larger than the sum of its proper divisors (6552041).

34413631 is a wasteful number, since it uses less digits than its factorization.

34413631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16390 (or 16383 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 34413631 is about 5866.3132374601. The cubic root of 34413631 is about 325.2696176854.

The spelling of 34413631 in words is "thirty-four million, four hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 7 43 49 301 2107 16333 114331 702319 800317 4916233 34413631