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34263834 = 23112272287
BaseRepresentation
bin1000001010110…
…1001100011010
32101110210010220
42002231030122
532232420314
63222220510
7564144363
oct202551432
971423126
1034263834
1118382a20
12b584736
137138977
14479cb6a
15301c3a9
hex20ad31a

34263834 has 32 divisors (see below), whose sum is σ = 75119616. Its totient is φ = 10332720.

The previous prime is 34263833. The next prime is 34263847. The reversal of 34263834 is 43836243.

It is a super-3 number, since 3×342638343 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34263795 and 34263804.

It is not an unprimeable number, because it can be changed into a prime (34263833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13839 + ... + 16125.

It is an arithmetic number, because the mean of its divisors is an integer number (2347488).

Almost surely, 234263834 is an apocalyptic number.

34263834 is an abundant number, since it is smaller than the sum of its proper divisors (40855782).

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

34263834 is a wasteful number, since it uses less digits than its factorization.

34263834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530.

The product of its digits is 41472, while the sum is 33.

The square root of 34263834 is about 5853.5317544197. The cubic root of 34263834 is about 324.7969824778.

It can be divided in two parts, 3426 and 3834, that added together give a triangular number (7260 = T120).

The spelling of 34263834 in words is "thirty-four million, two hundred sixty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 227 454 681 1362 2287 2497 4574 4994 6861 7491 13722 14982 25157 50314 75471 150942 519149 1038298 1557447 3114894 5710639 11421278 17131917 34263834