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234240240 = 243513193389
BaseRepresentation
bin11011111011000…
…11100011110000
3121022202122012110
431331203203300
5434431141430
635124325320
75543003103
oct1575434360
9538678173
10234240240
1111024a183
1266543840
13396b52c0
142317673a
151586e7b0
hexdf638f0

234240240 has 160 divisors (see below), whose sum is σ = 788074560. Its totient is φ = 57212928.

The previous prime is 234240239. The next prime is 234240269. The reversal of 234240240 is 42042432.

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, 601966 + ... + 602354.

It is an arithmetic number, because the mean of its divisors is an integer number (4925466).

Almost surely, 2234240240 is an apocalyptic number.

234240240 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 234240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394037280).

234240240 is an abundant number, since it is smaller than the sum of its proper divisors (553834320).

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

234240240 is a wasteful number, since it uses less digits than its factorization.

234240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 234240240 is about 15304.9090163908. The cubic root of 234240240 is about 616.4348281980.

Adding to 234240240 its reverse (42042432), we get a palindrome (276282672).

The spelling of 234240240 in words is "two hundred thirty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 193 195 208 240 260 312 386 389 390 520 579 624 772 778 780 965 1040 1158 1167 1544 1556 1560 1930 1945 2316 2334 2509 2895 3088 3112 3120 3860 3890 4632 4668 5018 5057 5790 5835 6224 7527 7720 7780 9264 9336 10036 10114 11580 11670 12545 15054 15171 15440 15560 18672 20072 20228 23160 23340 25090 25285 30108 30342 31120 37635 40144 40456 46320 46680 50180 50570 60216 60684 75077 75270 75855 80912 93360 100360 101140 120432 121368 150154 150540 151710 200720 202280 225231 242736 300308 301080 303420 375385 404560 450462 600616 602160 606840 750770 900924 976001 1126155 1201232 1213680 1501540 1801848 1952002 2252310 2928003 3003080 3603696 3904004 4504620 4880005 5856006 6006160 7808008 9009240 9760010 11712012 14640015 15616016 18018480 19520020 23424024 29280030 39040040 46848048 58560060 78080080 117120120 234240240