Search a number
-
+
2634312 = 2331953109
BaseRepresentation
bin1010000011001001001000
311221211121010
422003021020
51133244222
6132243520
731251132
oct12031110
94854533
102634312
11153a21a
12a705a0
13713085
144c8052
1537080c
hex283248

2634312 has 64 divisors (see below), whose sum is σ = 7128000. Its totient is φ = 808704.

The previous prime is 2634301. The next prime is 2634319. The reversal of 2634312 is 2134362.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2634319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24114 + ... + 24222.

It is an arithmetic number, because the mean of its divisors is an integer number (111375).

22634312 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 2634312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564000).

2634312 is an abundant number, since it is smaller than the sum of its proper divisors (4493688).

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

2634312 is a wasteful number, since it uses less digits than its factorization.

2634312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2634312 is about 1623.0563761003. The cubic root of 2634312 is about 138.1091344225.

Adding to 2634312 its reverse (2134362), we get a palindrome (4768674).

The spelling of 2634312 in words is "two million, six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 109 114 152 159 212 218 228 318 327 424 436 456 636 654 872 1007 1272 1308 2014 2071 2616 3021 4028 4142 5777 6042 6213 8056 8284 11554 12084 12426 16568 17331 23108 24168 24852 34662 46216 49704 69324 109763 138648 219526 329289 439052 658578 878104 1317156 2634312