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234296064 = 283411299
BaseRepresentation
bin11011111011100…
…01001100000000
3121022212110210000
431331301030000
5434434433224
635125440000
75543324622
oct1575611400
9538773700
10234296064
11110288112
1266570000
1339704832
142318cc12
15158810c9
hexdf71300

234296064 has 90 divisors (see below), whose sum is σ = 698690300. Its totient is φ = 78091776.

The previous prime is 234296039. The next prime is 234296129. The reversal of 234296064 is 460692432.

234296064 is a `hidden beast` number, since 2 + 3 + 42 + 9 + 606 + 4 = 666.

234296064 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 (36).

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 9 ways as a sum of consecutive naturals, for example, 15087 + ... + 26385.

Almost surely, 2234296064 is an apocalyptic number.

234296064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349345150).

234296064 is an abundant number, since it is smaller than the sum of its proper divisors (464394236).

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

234296064 is an equidigital number, since it uses as much as digits as its factorization.

234296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 234296064 is about 15306.7326363271. The cubic root of 234296064 is about 616.4837937736.

The spelling of 234296064 in words is "two hundred thirty-four million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 11299 20736 22598 33897 45196 67794 90392 101691 135588 180784 203382 271176 305073 361568 406764 542352 610146 723136 813528 915219 1084704 1220292 1446272 1627056 1830438 2169408 2440584 2892544 3254112 3660876 4338816 4881168 6508224 7321752 8677632 9762336 13016448 14643504 19524672 26032896 29287008 39049344 58574016 78098688 117148032 234296064