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2772330 = 2351131271
BaseRepresentation
bin1010100100110101101010
312012211220220
422210311222
51202203310
6135230510
732364411
oct12446552
95184826
102772330
111623990
12b18436
13760b42
14522478
1539b670
hex2a4d6a

2772330 has 64 divisors (see below), whose sum is σ = 7520256. Its totient is φ = 648000.

The previous prime is 2772317. The next prime is 2772331. The reversal of 2772330 is 332772.

2772330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2772330.

It is not an unprimeable number, because it can be changed into a prime (2772331) 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, 10095 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (117504).

22772330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760128).

2772330 is an abundant number, since it is smaller than the sum of its proper divisors (4747926).

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

2772330 is a wasteful number, since it uses less digits than its factorization.

2772330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 2772330 is about 1665.0315312330. The cubic root of 2772330 is about 140.4801540675.

The spelling of 2772330 in words is "two million, seven hundred seventy-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 271 310 330 341 465 542 682 813 930 1023 1355 1626 1705 2046 2710 2981 3410 4065 5115 5962 8130 8401 8943 10230 14905 16802 17886 25203 29810 42005 44715 50406 84010 89430 92411 126015 184822 252030 277233 462055 554466 924110 1386165 2772330