Search a number
-
+
3101296 = 241167263
BaseRepresentation
bin1011110101001001110000
312211120011211
423311021300
51243220141
6150245504
735234452
oct13651160
95746154
103101296
111829060
121056894
138477b3
145aa2d2
15413d81
hex2f5270

3101296 has 40 divisors (see below), whose sum is σ = 6678144. Its totient is φ = 1383360.

The previous prime is 3101291. The next prime is 3101299. The reversal of 3101296 is 6921013.

3101296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 3101296 parts by 2490 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11661 + ... + 11923.

Almost surely, 23101296 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 3101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339072).

3101296 is an abundant number, since it is smaller than the sum of its proper divisors (3576848).

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

3101296 is a wasteful number, since it uses less digits than its factorization.

3101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 3101296 is about 1761.0496869765. The cubic root of 3101296 is about 145.8302900771.

The spelling of 3101296 in words is "three million, one hundred one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 263 268 526 536 737 1052 1072 1474 2104 2893 2948 4208 5786 5896 11572 11792 17621 23144 35242 46288 70484 140968 193831 281936 387662 775324 1550648 3101296