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240506401 = 3137449467
BaseRepresentation
bin11100101010111…
…01011000100001
3121202112222202111
432111131120201
5443032201101
635510515321
75650161562
oct1625353041
9552488674
10240506401
1111383a023
1268665b41
133aa9a4a5
1423d28169
15161ab251
hexe55d621

240506401 has 16 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 225469440.

The previous prime is 240506381. The next prime is 240506407. The reversal of 240506401 is 104605042.

240506401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 240506401 - 217 = 240375329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240506407) 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, 514770 + ... + 515236.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2240506401 is an apocalyptic number.

It is an amenable number.

240506401 is a deficient number, since it is larger than the sum of its proper divisors (15583199).

240506401 is a wasteful number, since it uses less digits than its factorization.

240506401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 240506401 is about 15508.2687944206. The cubic root of 240506401 is about 621.8832790359.

The spelling of 240506401 in words is "two hundred forty million, five hundred six thousand, four hundred one".

Divisors: 1 31 37 449 467 1147 13919 14477 16613 17279 209683 515003 535649 6500173 7758271 240506401