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2276742 = 2313172101
BaseRepresentation
bin1000101011110110000110
311021200002210
420223312012
51040323432
6120444250
725231506
oct10536606
94250083
102276742
111315606
12919686
136193b0
14433a06
152ee8cc
hex22bd86

2276742 has 48 divisors (see below), whose sum is σ = 5260752. Its totient is φ = 652800.

The previous prime is 2276741. The next prime is 2276749. The reversal of 2276742 is 2476722.

2276742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2276741) 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 23 ways as a sum of consecutive naturals, for example, 22492 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (109599).

22276742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630376).

2276742 is an abundant number, since it is smaller than the sum of its proper divisors (2984010).

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

2276742 is a wasteful number, since it uses less digits than its factorization.

2276742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 2276742 is about 1508.8876697753. The cubic root of 2276742 is about 131.5541662187.

The spelling of 2276742 in words is "two million, two hundred seventy-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 202 221 289 303 442 578 606 663 867 1313 1326 1717 1734 2626 3434 3757 3939 5151 7514 7878 10302 11271 22321 22542 29189 44642 58378 66963 87567 133926 175134 379457 758914 1138371 2276742