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2287340 = 2251137281
BaseRepresentation
bin1000101110011011101100
311022012122022
420232123230
51041143330
6121005312
725304426
oct10563354
94265568
102287340
111322570
12923838
13621173
14437816
15302ae5
hex22e6ec

2287340 has 48 divisors (see below), whose sum is σ = 5400864. Its totient is φ = 806400.

The previous prime is 2287319. The next prime is 2287343. The reversal of 2287340 is 437822.

It is a d-powerful number, because it can be written as 2 + 217 + 87 + 72 + 310 + 42 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2287343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8000 + ... + 8280.

It is an arithmetic number, because the mean of its divisors is an integer number (112518).

22287340 is an apocalyptic number.

2287340 is a gapful number since it is divisible by the number (20) 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 2287340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700432).

2287340 is an abundant number, since it is smaller than the sum of its proper divisors (3113524).

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

2287340 is a wasteful number, since it uses less digits than its factorization.

2287340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2287340 is about 1512.3954509321. The cubic root of 2287340 is about 131.7579740177.

The spelling of 2287340 in words is "two million, two hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 281 370 407 562 740 814 1124 1405 1628 2035 2810 3091 4070 5620 6182 8140 10397 12364 15455 20794 30910 41588 51985 61820 103970 114367 207940 228734 457468 571835 1143670 2287340