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2631344 = 242953107
BaseRepresentation
bin1010000010011010110000
311221200112012
422002122300
51133200334
6132222052
731236362
oct12023260
94850465
102631344
111537a71
12a6a928
13711911
144c6d32
1536e9ce
hex2826b0

2631344 has 40 divisors (see below), whose sum is σ = 5423760. Its totient is φ = 1234688.

The previous prime is 2631337. The next prime is 2631347. The reversal of 2631344 is 4431362.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2631347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24539 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (135594).

22631344 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 2631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711880).

2631344 is an abundant number, since it is smaller than the sum of its proper divisors (2792416).

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

2631344 is a wasteful number, since it uses less digits than its factorization.

2631344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 2631344 is about 1622.1417940488. The cubic root of 2631344 is about 138.0572471301.

The spelling of 2631344 in words is "two million, six hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 53 58 106 107 116 212 214 232 424 428 464 848 856 1537 1712 3074 3103 5671 6148 6206 11342 12296 12412 22684 24592 24824 45368 49648 90736 164459 328918 657836 1315672 2631344