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2593344 = 263131039
BaseRepresentation
bin1001111001001001000000
311212202101210
421321021000
51130441334
6131330120
731020525
oct11711100
94782353
102593344
111511466
12a50940
136ca530
144b714c
153635e9
hex279240

2593344 has 56 divisors (see below), whose sum is σ = 7396480. Its totient is φ = 797184.

The previous prime is 2593337. The next prime is 2593361. The reversal of 2593344 is 4433952.

It is a super-3 number, since 3×25933443 = 52324084750033354752, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 3015.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

22593344 is an apocalyptic number.

2593344 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 2593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2593344 is an abundant number, since it is smaller than the sum of its proper divisors (4803136).

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

2593344 is a wasteful number, since it uses less digits than its factorization.

2593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1057 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 2593344 is about 1610.3862890623. The cubic root of 2593344 is about 137.3894472253.

The spelling of 2593344 in words is "two million, five hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1039 1248 2078 2496 3117 4156 6234 8312 12468 13507 16624 24936 27014 33248 40521 49872 54028 66496 81042 99744 108056 162084 199488 216112 324168 432224 648336 864448 1296672 2593344