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419034 = 23711907
BaseRepresentation
bin1100110010011011010
3210021210210
41212103122
5101402114
612551550
73363450
oct1462332
9707723
10419034
11266910
121825b6
13118965
14ac9d0
1584259
hex664da

419034 has 32 divisors (see below), whose sum is σ = 1046016. Its totient is φ = 108720.

The previous prime is 418997. The next prime is 419047. The reversal of 419034 is 430914.

419034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 419034.

It is an unprimeable number.

419034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (32688).

2419034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523008).

419034 is an abundant number, since it is smaller than the sum of its proper divisors (626982).

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

419034 is a wasteful number, since it uses less digits than its factorization.

419034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 419034 is about 647.3283556280. The cubic root of 419034 is about 74.8312651096.

Adding to 419034 its reverse (430914), we get a palindrome (849948).

It can be divided in two parts, 4190 and 34, that added together give a palindrome (4224).

The spelling of 419034 in words is "four hundred nineteen thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 907 1814 2721 5442 6349 9977 12698 19047 19954 29931 38094 59862 69839 139678 209517 419034