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216734304 = 2532257649
BaseRepresentation
bin11001110101100…
…01101001100000
3120002211020120110
430322301221200
5420440444204
633301211320
75241132303
oct1472615140
9502736513
10216734304
11101382766
1260700b40
1335b96167
1420adab3a
1514062889
hexceb1a60

216734304 has 24 divisors (see below), whose sum is σ = 568927800. Its totient is φ = 72244736.

The previous prime is 216734293. The next prime is 216734321. The reversal of 216734304 is 403437612.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1128729 + ... + 1128920.

It is an arithmetic number, because the mean of its divisors is an integer number (23705325).

Almost surely, 2216734304 is an apocalyptic number.

216734304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216734304 is an abundant number, since it is smaller than the sum of its proper divisors (352193496).

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

216734304 is a wasteful number, since it uses less digits than its factorization.

216734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257662 (or 2257654 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 216734304 is about 14721.8987905773. The cubic root of 216734304 is about 600.6791420978.

The spelling of 216734304 in words is "two hundred sixteen million, seven hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2257649 4515298 6772947 9030596 13545894 18061192 27091788 36122384 54183576 72244768 108367152 216734304