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2414001 = 331101257
BaseRepresentation
bin1001001101010110110001
311112122101110
421031112301
51104222001
6123423533
726342622
oct11152661
94478343
102414001
1113a9747
12984ba9
13666a05
1446ba49
1532a3d6
hex24d5b1

2414001 has 16 divisors (see below), whose sum is σ = 3368448. Its totient is φ = 1536000.

The previous prime is 2413993. The next prime is 2414021. The reversal of 2414001 is 1004142.

2414001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2414001 - 23 = 2413993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9265 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (210528).

It is a Poulet number, since it divides 22414000-1.

22414001 is an apocalyptic number.

It is an amenable number.

2414001 is a deficient number, since it is larger than the sum of its proper divisors (954447).

2414001 is a wasteful number, since it uses less digits than its factorization.

2414001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2414001 is about 1553.7055705635. The cubic root of 2414001 is about 134.1464390031.

Adding to 2414001 its reverse (1004142), we get a palindrome (3418143).

The spelling of 2414001 in words is "two million, four hundred fourteen thousand, one".

Divisors: 1 3 31 93 101 257 303 771 3131 7967 9393 23901 25957 77871 804667 2414001