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234243040 = 25523531201
BaseRepresentation
bin11011111011001…
…00001111100000
3121022202210001011
431331210033200
5434431234130
635124350304
75543014213
oct1575441740
9538683034
10234243040
11110251299
1266545394
13396b6665
142317777a
151587052a
hexdf643e0

234243040 has 96 divisors (see below), whose sum is σ = 588845376. Its totient is φ = 87859200.

The previous prime is 234243013. The next prime is 234243067. The reversal of 234243040 is 40342432.

234243040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234243013) and next prime (234243067).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194440 + ... + 195640.

It is an arithmetic number, because the mean of its divisors is an integer number (6133806).

Almost surely, 2234243040 is an apocalyptic number.

234243040 is a gapful number since it is divisible by the number (20) 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 234243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294422688).

234243040 is an abundant number, since it is smaller than the sum of its proper divisors (354602336).

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

234243040 is a wasteful number, since it uses less digits than its factorization.

234243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 234243040 is about 15305.0004900359. Note that the first 3 decimals coincide. The cubic root of 234243040 is about 616.4372843810.

Adding to 234243040 its reverse (40342432), we get a palindrome (274585472).

The spelling of 234243040 in words is "two hundred thirty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 80 92 106 115 160 184 212 230 265 368 424 460 530 736 848 920 1060 1201 1219 1696 1840 2120 2402 2438 3680 4240 4804 4876 6005 6095 8480 9608 9752 12010 12190 19216 19504 24020 24380 27623 38432 39008 48040 48760 55246 63653 96080 97520 110492 127306 138115 192160 195040 220984 254612 276230 318265 441968 509224 552460 636530 883936 1018448 1104920 1273060 1464019 2036896 2209840 2546120 2928038 4419680 5092240 5856076 7320095 10184480 11712152 14640190 23424304 29280380 46848608 58560760 117121520 234243040