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240313140 = 2232519292423
BaseRepresentation
bin11100101001011…
…10001100110100
3121202012011122200
432110232030310
5443010010030
635502424500
75645425254
oct1624561464
9552164580
10240313140
11113717901
1268592130
133aa30532
1423cb7964
151616dd60
hexe52e334

240313140 has 144 divisors (see below), whose sum is σ = 794102400. Its totient is φ = 58593024.

The previous prime is 240313133. The next prime is 240313141. The reversal of 240313140 is 41313042.

240313140 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240313141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97969 + ... + 100391.

It is an arithmetic number, because the mean of its divisors is an integer number (5514600).

Almost surely, 2240313140 is an apocalyptic number.

240313140 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 240313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397051200).

240313140 is an abundant number, since it is smaller than the sum of its proper divisors (553789260).

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

240313140 is a wasteful number, since it uses less digits than its factorization.

240313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 240313140 is about 15502.0366403902. The cubic root of 240313140 is about 621.7166611685.

Adding to 240313140 its reverse (41313042), we get a palindrome (281626182).

The spelling of 240313140 in words is "two hundred forty million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2423 2610 2755 3306 3420 4846 4959 5220 5510 6612 7269 8265 9692 9918 11020 12115 14538 16530 19836 21807 24230 24795 29076 33060 36345 43614 46037 48460 49590 70267 72690 87228 92074 99180 109035 138111 140534 145380 184148 210801 218070 230185 276222 281068 351335 414333 421602 436140 460370 552444 632403 690555 702670 828666 843204 920740 1054005 1264806 1335073 1381110 1405340 1657332 2071665 2108010 2529612 2670146 2762220 3162015 4005219 4143330 4216020 5340292 6324030 6675365 8010438 8286660 12015657 12648060 13350730 16020876 20026095 24031314 26701460 40052190 48062628 60078285 80104380 120156570 240313140