Search a number
-
+
34210432 = 272411109
BaseRepresentation
bin1000001010000…
…0001010000000
32101101001220001
42002200022000
532224213212
63221125344
7563532604
oct202401200
971331801
1034210432
1118346893
12b559854
13711a579
144787504
15300b657
hex20a0280

34210432 has 32 divisors (see below), whose sum is σ = 68498100. Its totient is φ = 17018880.

The previous prime is 34210403. The next prime is 34210433. The reversal of 34210432 is 23401243.

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 1308736 = 5736^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34210433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30294 + ... + 31402.

Almost surely, 234210432 is an apocalyptic number.

34210432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34249050).

34210432 is an abundant number, since it is smaller than the sum of its proper divisors (34287668).

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

34210432 is a wasteful number, since it uses less digits than its factorization.

34210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34210432 is about 5848.9684560613. The cubic root of 34210432 is about 324.6281569731.

Adding to 34210432 its reverse (23401243), we get a palindrome (57611675).

The spelling of 34210432 in words is "thirty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 241 482 964 1109 1928 2218 3856 4436 7712 8872 15424 17744 30848 35488 70976 141952 267269 534538 1069076 2138152 4276304 8552608 17105216 34210432