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213360384 = 283277813
BaseRepresentation
bin11001011011110…
…01111100000000
3112212110211102110
430231321330000
5414110013014
633101015320
75200350636
oct1455717400
9485424373
10213360384
11aa4888a6
125b554540
1335284563
142049d356
1513ae7d59
hexcb79f00

213360384 has 36 divisors (see below), whose sum is σ = 567851816. Its totient is φ = 71119872.

The previous prime is 213360359. The next prime is 213360403. The reversal of 213360384 is 483063312.

213360384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138139 + ... + 139674.

Almost surely, 2213360384 is an apocalyptic number.

213360384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213360384 is an abundant number, since it is smaller than the sum of its proper divisors (354491432).

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

213360384 is an equidigital number, since it uses as much as digits as its factorization.

213360384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277832 (or 277818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 213360384 is about 14606.8608537221. The cubic root of 213360384 is about 597.5458870123.

The spelling of 213360384 in words is "two hundred thirteen million, three hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 277813 555626 833439 1111252 1666878 2222504 3333756 4445008 6667512 8890016 13335024 17780032 26670048 35560064 53340096 71120128 106680192 213360384