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240506301 = 3711452681
BaseRepresentation
bin11100101010111…
…01010110111101
3121202112222121210
432111131112331
5443032200201
635510515033
75650161360
oct1625352675
9552488553
10240506301
11113839a42
1268665a79
133aa9a429
1423d280d7
15161ab1d6
hexe55d5bd

240506301 has 8 divisors (see below), whose sum is σ = 366485824. Its totient is φ = 137432160.

The previous prime is 240506291. The next prime is 240506303. The reversal of 240506301 is 103605042.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 240506301 - 25 = 240506269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 11452681 = 240506301 / (2 + 4 + 0 + 5 + 0 + 6 + 3 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240506303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5726320 + ... + 5726361.

It is an arithmetic number, because the mean of its divisors is an integer number (45810728).

Almost surely, 2240506301 is an apocalyptic number.

240506301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240506301 is a deficient number, since it is larger than the sum of its proper divisors (125979523).

240506301 is a wasteful number, since it uses less digits than its factorization.

240506301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452691.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 240506301 is about 15508.2655703338. The cubic root of 240506301 is about 621.8831928451.

The spelling of 240506301 in words is "two hundred forty million, five hundred six thousand, three hundred one".

Divisors: 1 3 7 21 11452681 34358043 80168767 240506301