Search a number
-
+
2774400312 = 2331515931291
BaseRepresentation
bin1010010101011101…
…1111110100111000
321011100112010202010
42211113133310320
521140221302222
61135145005520
7125516004435
oct24527376470
97140463663
102774400312
1111a4093022
126551838a0
13352a360b8
141c467cb8c
1511387e80c
hexa55dfd38

2774400312 has 64 divisors (see below), whose sum is σ = 6999125760. Its totient is φ = 916416000.

The previous prime is 2774400301. The next prime is 2774400313. The reversal of 2774400312 is 2130044772.

It is a self number, because there is not a number n which added to its sum of digits gives 2774400312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148387 + ... + 2149677.

It is an arithmetic number, because the mean of its divisors is an integer number (109361340).

Almost surely, 22774400312 is an apocalyptic number.

It is an amenable number.

2774400312 is an abundant number, since it is smaller than the sum of its proper divisors (4224725448).

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

2774400312 is a wasteful number, since it uses less digits than its factorization.

2774400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2040 counting only the distinct ones).

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

The square root of 2774400312 is about 52672.5764701139. The cubic root of 2774400312 is about 1405.1511447771.

The spelling of 2774400312 in words is "two billion, seven hundred seventy-four million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 593 604 906 1186 1208 1291 1779 1812 2372 2582 3558 3624 3873 4744 5164 7116 7746 10328 14232 15492 30984 89543 179086 194941 268629 358172 389882 537258 584823 716344 765563 779764 1074516 1169646 1531126 1559528 2149032 2296689 2339292 3062252 4593378 4678584 6124504 9186756 18373512 115600013 231200026 346800039 462400052 693600078 924800104 1387200156 2774400312