Search a number
-
+
240331960 = 235111035303
BaseRepresentation
bin11100101001100…
…10110010111000
3121202020010110201
432110302302320
5443011110320
635503051544
75645534161
oct1624626270
9552203421
10240331960
1111372aa60
12685a0bb4
133aa38c7b
1423cc0768
151617470a
hexe532cb8

240331960 has 64 divisors (see below), whose sum is σ = 595745280. Its totient is φ = 86528640.

The previous prime is 240331939. The next prime is 240331963. The reversal of 240331960 is 69133042.

240331960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240331963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42669 + ... + 47971.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2240331960 is an apocalyptic number.

240331960 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 240331960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

240331960 is an abundant number, since it is smaller than the sum of its proper divisors (355413320).

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

240331960 is a wasteful number, since it uses less digits than its factorization.

240331960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 240331960 is about 15502.6436455206. The cubic root of 240331960 is about 621.7328905518.

The spelling of 240331960 in words is "two hundred forty million, three hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5303 5665 9064 10606 11330 21212 22660 26515 42424 45320 53030 58333 106060 116666 212120 233332 291665 466664 546209 583330 1092418 1166660 2184836 2333320 2731045 4369672 5462090 6008299 10924180 12016598 21848360 24033196 30041495 48066392 60082990 120165980 240331960