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2396288 = 2797193
BaseRepresentation
bin1001001001000010000000
311111202002102
421021002000
51103140123
6123205532
726240156
oct11110200
94452072
102396288
111397404
129768a8
1365b92b
144653d6
15325028
hex249080

2396288 has 32 divisors (see below), whose sum is σ = 4848060. Its totient is φ = 1179648.

The previous prime is 2396257. The next prime is 2396309. The reversal of 2396288 is 8826932.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2334784 + 61504 = 1528^2 + 248^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12320 + ... + 12512.

22396288 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 2396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424030).

2396288 is an abundant number, since it is smaller than the sum of its proper divisors (2451772).

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

2396288 is an equidigital number, since it uses as much as digits as its factorization.

2396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 2396288 is about 1547.9948320327. The cubic root of 2396288 is about 133.8175284238.

The spelling of 2396288 in words is "two million, three hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 193 194 386 388 772 776 1544 1552 3088 3104 6176 6208 12352 12416 18721 24704 37442 74884 149768 299536 599072 1198144 2396288