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213004344 = 23371267883
BaseRepresentation
bin11001011001000…
…11000000111000
3112211210202000210
430230203000320
5414012114334
633045231120
75164335630
oct1454430070
9484722023
10213004344
11aa265353
125b4024a0
133518b497
14204096c0
1513a775e9
hexcb23038

213004344 has 32 divisors (see below), whose sum is σ = 608584320. Its totient is φ = 60858336.

The previous prime is 213004343. The next prime is 213004349. The reversal of 213004344 is 443400312.

213004344 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 self number, because there is not a number n which added to its sum of digits gives 213004344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213004343) 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 7 ways as a sum of consecutive naturals, for example, 633774 + ... + 634109.

It is an arithmetic number, because the mean of its divisors is an integer number (19018260).

Almost surely, 2213004344 is an apocalyptic number.

213004344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213004344 is an abundant number, since it is smaller than the sum of its proper divisors (395579976).

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

213004344 is a wasteful number, since it uses less digits than its factorization.

213004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267899 (or 1267895 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 213004344 is about 14594.6683415554. The cubic root of 213004344 is about 597.2133218565.

Adding to 213004344 its reverse (443400312), we get a palindrome (656404656).

The spelling of 213004344 in words is "two hundred thirteen million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1267883 2535766 3803649 5071532 7607298 8875181 10143064 15214596 17750362 26625543 30429192 35500724 53251086 71001448 106502172 213004344