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2803424 = 251323293
BaseRepresentation
bin1010101100011011100000
312021102120112
422230123200
51204202144
6140030452
732554151
oct12543340
95242515
102803424
111645288
12b32428
13772040
1452d928
153a599e
hex2ac6e0

2803424 has 48 divisors (see below), whose sum is σ = 6223392. Its totient is φ = 1233408.

The previous prime is 2803421. The next prime is 2803433. The reversal of 2803424 is 4243082.

It is a super-2 number, since 2×28034242 = 15718372247552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2803424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803421) 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, 9422 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

22803424 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 2803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111696).

2803424 is an abundant number, since it is smaller than the sum of its proper divisors (3419968).

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

2803424 is a wasteful number, since it uses less digits than its factorization.

2803424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2803424 is about 1674.3428561678. The cubic root of 2803424 is about 141.0034035025.

The spelling of 2803424 in words is "two million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 293 299 368 416 586 598 736 1172 1196 2344 2392 3809 4688 4784 6739 7618 9376 9568 13478 15236 26956 30472 53912 60944 87607 107824 121888 175214 215648 350428 700856 1401712 2803424