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2313000 = 233253257
BaseRepresentation
bin1000110100101100101000
311100111211200
420310230220
51043004000
6121324200
725442304
oct10645450
94314750
102313000
11133a878
12936660
1362ca51
14442d04
1530a500
hex234b28

2313000 has 96 divisors (see below), whose sum is σ = 7848360. Its totient is φ = 614400.

The previous prime is 2312987. The next prime is 2313007. The reversal of 2313000 is 3132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 887364 = 1194^2 + 942^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2313007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8872 + ... + 9128.

22313000 is an apocalyptic number.

2313000 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 2313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924180).

2313000 is an abundant number, since it is smaller than the sum of its proper divisors (5535360).

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

2313000 is a wasteful number, since it uses less digits than its factorization.

2313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2313000 is about 1520.8550226764. The cubic root of 2313000 is about 132.2488418917.

Adding to 2313000 its reverse (3132), we get a palindrome (2316132).

The spelling of 2313000 in words is "two million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 257 300 360 375 450 500 514 600 750 771 900 1000 1028 1125 1285 1500 1542 1800 2056 2250 2313 2570 3000 3084 3855 4500 4626 5140 6168 6425 7710 9000 9252 10280 11565 12850 15420 18504 19275 23130 25700 30840 32125 38550 46260 51400 57825 64250 77100 92520 96375 115650 128500 154200 192750 231300 257000 289125 385500 462600 578250 771000 1156500 2313000