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2400241 = 89149181
BaseRepresentation
bin1001001001111111110001
311111221111211
421021333301
51103301431
6123240121
726254534
oct11117761
94457454
102400241
11139a378
12979041
1366067c
14466a1b
153262b1
hex249ff1

2400241 has 8 divisors (see below), whose sum is σ = 2457000. Its totient is φ = 2344320.

The previous prime is 2400221. The next prime is 2400253. The reversal of 2400241 is 1420042.

2400241 = 10952 + 10962.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 2146225 = 504^2 + 1465^2 .

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 2400241 - 219 = 1875953 is a prime.

It is a super-2 number, since 2×24002412 = 11522313716162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13171 + ... + 13351.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

22400241 is an apocalyptic number.

2400241 is the 1096-th centered square number.

It is an amenable number.

2400241 is a deficient number, since it is larger than the sum of its proper divisors (56759).

2400241 is a wasteful number, since it uses less digits than its factorization.

2400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

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

The square root of 2400241 is about 1549.2711189459. The cubic root of 2400241 is about 133.8910713481.

Adding to 2400241 its reverse (1420042), we get a palindrome (3820283).

The spelling of 2400241 in words is "two million, four hundred thousand, two hundred forty-one".

Divisors: 1 89 149 181 13261 16109 26969 2400241