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213434420 = 22524144281
BaseRepresentation
bin11001011100011…
…00000000110100
3112212121120222112
430232030000310
5414114400140
633102350152
75201106533
oct1456140064
9485546875
10213434420
11aa529491
125b58b358
13352ac174
14204bc31a
1513b0ec65
hexcb8c034

213434420 has 24 divisors (see below), whose sum is σ = 450082248. Its totient is φ = 85017600.

The previous prime is 213434401. The next prime is 213434471. The reversal of 213434420 is 24434312.

It can be written as a sum of positive squares in 4 ways, for example, as 18887716 + 194546704 = 4346^2 + 13948^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17321 + ... + 26960.

It is an arithmetic number, because the mean of its divisors is an integer number (18753427).

Almost surely, 2213434420 is an apocalyptic number.

213434420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213434420 is an abundant number, since it is smaller than the sum of its proper divisors (236647828).

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

213434420 is a wasteful number, since it uses less digits than its factorization.

213434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44531 (or 44529 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 213434420 is about 14609.3949224463. The cubic root of 213434420 is about 597.6149951107.

Adding to 213434420 its reverse (24434312), we get a palindrome (237868732).

The spelling of 213434420 in words is "two hundred thirteen million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 44281 88562 177124 221405 442810 885620 10671721 21343442 42686884 53358605 106717210 213434420