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2053344 = 25373293
BaseRepresentation
bin111110101010011100000
310212022122210
413311103200
51011201334
6112002120
723311266
oct7652340
93768583
102053344
111182787
12830340
1356b7c7
143b6436
152a85e9
hex1f54e0

2053344 has 48 divisors (see below), whose sum is σ = 5482512. Its totient is φ = 672768.

The previous prime is 2053339. The next prime is 2053357. The reversal of 2053344 is 4433502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2053344.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6862 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (114219).

22053344 is an apocalyptic number.

2053344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741256).

2053344 is an abundant number, since it is smaller than the sum of its proper divisors (3429168).

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

2053344 is a wasteful number, since it uses less digits than its factorization.

2053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2053344 is about 1432.9494059457. The cubic root of 2053344 is about 127.1024448787.

Adding to 2053344 its reverse (4433502), we get a palindrome (6486846).

The spelling of 2053344 in words is "two million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 293 438 584 586 876 879 1168 1172 1752 1758 2336 2344 3504 3516 4688 7008 7032 9376 14064 21389 28128 42778 64167 85556 128334 171112 256668 342224 513336 684448 1026672 2053344