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240468 = 22329691
BaseRepresentation
bin111010101101010100
3110012212020
4322231110
530143333
65053140
72021034
oct725524
9405766
10240468
11154738
12b71b0
13855b7
14638c4
154b3b3
hex3ab54

240468 has 24 divisors (see below), whose sum is σ = 581280. Its totient is φ = 77280.

The previous prime is 240437. The next prime is 240473. The reversal of 240468 is 864042.

240468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240468.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (24220).

2240468 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 240468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290640).

240468 is an abundant number, since it is smaller than the sum of its proper divisors (340812).

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

240468 is a wasteful number, since it uses less digits than its factorization.

240468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 240468 is about 490.3753664286. The cubic root of 240468 is about 62.1850179139.

It can be divided in two parts, 2 and 40468, that added together give a triangular number (40470 = T284).

The spelling of 240468 in words is "two hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 691 1382 2073 2764 4146 8292 20039 40078 60117 80156 120234 240468