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2303296 = 26172973
BaseRepresentation
bin1000110010010101000000
311100000112021
420302111000
51042201141
6121211224
725402102
oct10622500
94300467
102303296
111333556
12930b14
136284c8
1443d572
153076d1
hex232540

2303296 has 56 divisors (see below), whose sum is σ = 5074920. Its totient is φ = 1032192.

The previous prime is 2303293. The next prime is 2303297. The reversal of 2303296 is 6923032.

It can be written as a sum of positive squares in 4 ways, for example, as 705600 + 1597696 = 840^2 + 1264^2 .

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2303296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303293) 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 7 ways as a sum of consecutive naturals, for example, 31516 + ... + 31588.

22303296 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 2303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537460).

2303296 is an abundant number, since it is smaller than the sum of its proper divisors (2771624).

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

2303296 is a wasteful number, since it uses less digits than its factorization.

2303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 2303296 is about 1517.6613588018. The cubic root of 2303296 is about 132.0636362892.

The spelling of 2303296 in words is "two million, three hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 73 116 136 146 232 272 292 464 493 544 584 928 986 1088 1168 1241 1856 1972 2117 2336 2482 3944 4234 4672 4964 7888 8468 9928 15776 16936 19856 31552 33872 35989 39712 67744 71978 79424 135488 143956 287912 575824 1151648 2303296