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213241434 = 23723719603
BaseRepresentation
bin11001011010111…
…00111001011010
3112212020210020220
430231130321122
5414042211214
633054300510
75166344100
oct1455347132
9485223226
10213241434
11aa40749a
125b4b7736
1335242383
142046bc70
1513ac29a9
hexcb5ce5a

213241434 has 48 divisors (see below), whose sum is σ = 509547168. Its totient is φ = 59276448.

The previous prime is 213241409. The next prime is 213241439. The reversal of 213241434 is 434142312.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213241439) 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, 1077 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (10615566).

Almost surely, 2213241434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213241434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254773584).

213241434 is an abundant number, since it is smaller than the sum of its proper divisors (296305734).

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

213241434 is a wasteful number, since it uses less digits than its factorization.

213241434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19659 (or 19652 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 213241434 is about 14602.7885693110. The cubic root of 213241434 is about 597.4348209452.

Adding to 213241434 its reverse (434142312), we get a palindrome (647383746).

The spelling of 213241434 in words is "two hundred thirteen million, two hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 5439 10878 19603 39206 58809 117618 137221 274442 411663 725311 823326 960547 1450622 1921094 2175933 2881641 4351866 5077177 5763282 10154354 15231531 30463062 35540239 71080478 106620717 213241434