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2400000241 = 29373221873
BaseRepresentation
bin1000111100001101…
…0001100011110001
320012021000122101211
42033003101203301
514403400001431
61034052200121
7113321444152
oct21703214361
96167018354
102400000241
111021812781
1256b909041
132c32b8ab2
1418aa5d929
15e0a762b1
hex8f0d18f1

2400000241 has 8 divisors (see below), whose sum is σ = 2489426280. Its totient is φ = 2311018752.

The previous prime is 2400000221. The next prime is 2400000247. The reversal of 2400000241 is 1420000042.

It can be written as a sum of positive squares in 4 ways, for example, as 20511841 + 2379488400 = 4529^2 + 48780^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2400000241 - 227 = 2265782513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400000247) 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, 100120 + ... + 121753.

It is an arithmetic number, because the mean of its divisors is an integer number (311178285).

Almost surely, 22400000241 is an apocalyptic number.

It is an amenable number.

2400000241 is a deficient number, since it is larger than the sum of its proper divisors (89426039).

2400000241 is a wasteful number, since it uses less digits than its factorization.

2400000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222275.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2400000241 is about 48989.7973153595. The cubic root of 2400000241 is about 1338.8659449792.

Adding to 2400000241 its reverse (1420000042), we get a palindrome (3820000283).

The spelling of 2400000241 in words is "two billion, four hundred million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 29 373 10817 221873 6434317 82758629 2400000241