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2706330 = 2351159139
BaseRepresentation
bin1010010100101110011010
312002111101110
422110232122
51143100310
6134001150
732001114
oct12245632
95074343
102706330
111589340
12aa61b6
13739aa3
145063b4
15386d20
hex294b9a

2706330 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 640320.

The previous prime is 2706323. The next prime is 2706337. The reversal of 2706330 is 336072.

2706330 = T771 + T772 + ... + T779.

2706330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2706323) and next prime (2706337).

It is a junction number, because it is equal to n+sod(n) for n = 2706297 and 2706306.

It is not an unprimeable number, because it can be changed into a prime (2706337) 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 31 ways as a sum of consecutive naturals, for example, 19401 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22706330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2706330 is an abundant number, since it is smaller than the sum of its proper divisors (4551270).

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

2706330 is a wasteful number, since it uses less digits than its factorization.

2706330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 2706330 is about 1645.0927025551. The cubic root of 2706330 is about 139.3563995501.

The spelling of 2706330 in words is "two million, seven hundred six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 139 165 177 278 295 330 354 417 590 649 695 834 885 1298 1390 1529 1770 1947 2085 3058 3245 3894 4170 4587 6490 7645 8201 9174 9735 15290 16402 19470 22935 24603 41005 45870 49206 82010 90211 123015 180422 246030 270633 451055 541266 902110 1353165 2706330