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2409104 = 24172521
BaseRepresentation
bin1001001100001010010000
311112101200002
421030022100
51104042404
6123345132
726322425
oct11141220
94471602
102409104
1113a5aa5
129821a8
13664709
14469d4c
15328c1e
hex24c290

2409104 has 30 divisors (see below), whose sum is σ = 4967874. Its totient is φ = 1131520.

The previous prime is 2409091. The next prime is 2409109. The reversal of 2409104 is 4019042.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 1690000 = 848^2 + 1300^2 .

It is not an unprimeable number, because it can be changed into a prime (2409109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4364 + ... + 4884.

22409104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483937).

2409104 is an abundant number, since it is smaller than the sum of its proper divisors (2558770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2409104 is a wasteful number, since it uses less digits than its factorization.

2409104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2409104 is about 1552.1288606298. The cubic root of 2409104 is about 134.0556685608.

The spelling of 2409104 in words is "two million, four hundred nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 521 578 1042 1156 2084 2312 4168 4624 8336 8857 17714 35428 70856 141712 150569 301138 602276 1204552 2409104