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234321240 = 233523731163
BaseRepresentation
bin11011111011101…
…11010101011000
3121022220202022110
431331313111120
5434441234430
635130152320
75543461206
oct1575672530
9538822273
10234321240
111102a501a
12665826a0
133971312a
1423198076
15158887b0
hexdf77558

234321240 has 128 divisors (see below), whose sum is σ = 744215040. Its totient is φ = 58899456.

The previous prime is 234321239. The next prime is 234321257. The reversal of 234321240 is 42123432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200899 + ... + 202061.

It is an arithmetic number, because the mean of its divisors is an integer number (5814180).

Almost surely, 2234321240 is an apocalyptic number.

234321240 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 234321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372107520).

234321240 is an abundant number, since it is smaller than the sum of its proper divisors (509893800).

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

234321240 is a wasteful number, since it uses less digits than its factorization.

234321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 234321240 is about 15307.5549974514. The cubic root of 234321240 is about 616.5058741561.

Adding to 234321240 its reverse (42123432), we get a palindrome (276444672).

The spelling of 234321240 in words is "two hundred thirty-four million, three hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 73 92 115 120 138 146 184 219 230 276 292 345 365 438 460 552 584 690 730 876 920 1095 1163 1380 1460 1679 1752 2190 2326 2760 2920 3358 3489 4380 4652 5037 5815 6716 6978 8395 8760 9304 10074 11630 13432 13956 16790 17445 20148 23260 25185 26749 27912 33580 34890 40296 46520 50370 53498 67160 69780 80247 84899 100740 106996 133745 139560 160494 169798 201480 213992 254697 267490 320988 339596 401235 424495 509394 534980 641976 679192 802470 848990 1018788 1069960 1273485 1604940 1697980 1952677 2037576 2546970 3209880 3395960 3905354 5093940 5858031 7810708 9763385 10187880 11716062 15621416 19526770 23432124 29290155 39053540 46864248 58580310 78107080 117160620 234321240