Search a number
-
+
2296416 = 253191259
BaseRepresentation
bin1000110000101001100000
311022200002110
420300221200
51041441131
6121115320
725343043
oct10605140
94280073
102296416
111329371
12928b40
13625335
1443ac5a
15305646
hex230a60

2296416 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 724608.

The previous prime is 2296381. The next prime is 2296433. The reversal of 2296416 is 6146922.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 1195 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22296416 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 2296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2296416 is an abundant number, since it is smaller than the sum of its proper divisors (4053984).

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

2296416 is a wasteful number, since it uses less digits than its factorization.

2296416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2296416 is about 1515.3930183289. The cubic root of 2296416 is about 131.9320127391.

The spelling of 2296416 in words is "two million, two hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1259 1824 2518 3777 5036 7554 10072 15108 20144 23921 30216 40288 47842 60432 71763 95684 120864 143526 191368 287052 382736 574104 765472 1148208 2296416