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34413126 = 23112107443
BaseRepresentation
bin1000001101000…
…1101001000110
32101202100221020
42003101221012
532302210001
63225332010
7565335546
oct203215106
971670836
1034413126
1118475100
12b637006
13718b8c7
1447db326
15304b736
hex20d1a46

34413126 has 48 divisors (see below), whose sum is σ = 76531392. Its totient is φ = 10307440.

The previous prime is 34413121. The next prime is 34413157. The reversal of 34413126 is 62131443.

It is a junction number, because it is equal to n+sod(n) for n = 34413096 and 34413105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77461 + ... + 77903.

It is an arithmetic number, because the mean of its divisors is an integer number (1594404).

Almost surely, 234413126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34413126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38265696).

34413126 is an abundant number, since it is smaller than the sum of its proper divisors (42118266).

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

34413126 is a wasteful number, since it uses less digits than its factorization.

34413126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34413126 is about 5866.2701949365. The cubic root of 34413126 is about 325.2680266301.

Adding to 34413126 its reverse (62131443), we get a palindrome (96544569).

The spelling of 34413126 in words is "thirty-four million, four hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 107 121 214 242 321 363 443 642 726 886 1177 1329 2354 2658 3531 4873 7062 9746 12947 14619 25894 29238 38841 47401 53603 77682 94802 107206 142203 160809 284406 321618 521411 1042822 1564233 3128466 5735521 11471042 17206563 34413126