Search a number
-
+
240313164 = 223713359613
BaseRepresentation
bin11100101001011…
…10001101001100
3121202012011200120
432110232031030
5443010010124
635502424540
75645425320
oct1624561514
9552164616
10240313164
11113717923
1268592150
133aa30550
1423cb7980
151616dd79
hexe52e34c

240313164 has 96 divisors (see below), whose sum is σ = 693181440. Its totient is φ = 63099648.

The previous prime is 240313163. The next prime is 240313201. The reversal of 240313164 is 461313042.

240313164 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (240313163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391722 + ... + 392334.

It is an arithmetic number, because the mean of its divisors is an integer number (7220640).

Almost surely, 2240313164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240313164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346590720).

240313164 is an abundant number, since it is smaller than the sum of its proper divisors (452868276).

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

240313164 is a wasteful number, since it uses less digits than its factorization.

240313164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 240313164 is about 15502.0374144820. The cubic root of 240313164 is about 621.7166818654.

The spelling of 240313164 in words is "two hundred forty million, three hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 359 364 546 613 718 1077 1092 1226 1436 1839 2154 2452 2513 3678 4291 4308 4667 5026 7356 7539 7969 8582 9334 10052 12873 14001 15078 15938 17164 18668 23907 25746 28002 30156 31876 32669 47814 51492 55783 56004 65338 95628 98007 111566 130676 167349 196014 220067 223132 334698 392028 440134 660201 669396 880268 1320402 1540469 2640804 2860871 3080938 4621407 5721742 6161876 8582613 9242814 11443484 17165226 18485628 20026097 34330452 40052194 60078291 80104388 120156582 240313164