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2281344 = 27313457
BaseRepresentation
bin1000101100111110000000
311021220102020
420230332000
51041000334
6120521440
725251102
oct10547600
94256366
102281344
11131900a
12920280
1361b510
14435572
15300e49
hex22cf80

2281344 has 64 divisors (see below), whose sum is σ = 6540240. Its totient is φ = 700416.

The previous prime is 2281327. The next prime is 2281361. The reversal of 2281344 is 4431822.

It is an interprime number because it is at equal distance from previous prime (2281327) and next prime (2281361).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is a congruent number.

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, 4764 + ... + 5220.

22281344 is an apocalyptic number.

2281344 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 2281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270120).

2281344 is an abundant number, since it is smaller than the sum of its proper divisors (4258896).

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

2281344 is a wasteful number, since it uses less digits than its factorization.

2281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2281344 is about 1510.4118643602. The cubic root of 2281344 is about 131.6427437887.

The spelling of 2281344 in words is "two million, two hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 457 624 832 914 1248 1371 1664 1828 2496 2742 3656 4992 5484 5941 7312 10968 11882 14624 17823 21936 23764 29248 35646 43872 47528 58496 71292 87744 95056 142584 175488 190112 285168 380224 570336 760448 1140672 2281344