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BaseRepresentation
bin11001011011110…
…10110100101000
3112212111000101200
430231322310220
5414110122013
633101044200
75200364334
oct1455726450
9485430350
10213364008
11aa4905a0
125b556660
13352860c0
14204a07c4
1513ae8e73

213364008 has 384 divisors, whose sum is σ = 764225280. Its totient is φ = 52715520.

The previous prime is 213364007. The next prime is 213364037. The reversal of 213364008 is 800463312.

It is a happy number.

213364008 is a `hidden beast` number, since 2 + 13 + 3 + 640 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213364003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025710 + ... + 4025762.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2213364008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213364008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

213364008 is an abundant number, since it is smaller than the sum of its proper divisors (550861272).

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

213364008 is a wasteful number, since it uses less digits than its factorization.

213364008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213364008 is about 14606.9849044900. The cubic root of 213364008 is about 597.5492701678.

The spelling of 213364008 in words is "two hundred thirteen million, three hundred sixty-four thousand, eight".