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2303104 = 2719947
BaseRepresentation
bin1000110010010010000000
311100000021011
420302102000
51042144404
6121210304
725401406
oct10622200
94300234
102303104
1113333a1
12930994
136283ab
1443d476
15307604
hex232480

2303104 has 32 divisors (see below), whose sum is σ = 4834800. Its totient is φ = 1089792.

The previous prime is 2303089. The next prime is 2303117. The reversal of 2303104 is 4013032.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1959 + ... + 2905.

22303104 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 2303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417400).

2303104 is an abundant number, since it is smaller than the sum of its proper divisors (2531696).

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

2303104 is an equidigital number, since it uses as much as digits as its factorization.

2303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2303104 is about 1517.5981022656. The cubic root of 2303104 is about 132.0599666316.

Subtracting from 2303104 its product of nonzero digits (72), we obtain a palindrome (2303032).

Adding to 2303104 its reverse (4013032), we get a palindrome (6316136).

The spelling of 2303104 in words is "two million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 947 1216 1894 2432 3788 7576 15152 17993 30304 35986 60608 71972 121216 143944 287888 575776 1151552 2303104