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2302314 = 237241191
BaseRepresentation
bin1000110010000101101010
311022222011220
420302011222
51042133224
6121202510
725366200
oct10620552
94288156
102302314
111332843
12930436
13627c21
1443d070
15307279
hex23216a

2302314 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 638400.

The previous prime is 2302309. The next prime is 2302331. The reversal of 2302314 is 4132032.

It is a junction number, because it is equal to n+sod(n) for n = 2302293 and 2302302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11959 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22302314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2302314 is an abundant number, since it is smaller than the sum of its proper divisors (3213462).

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

2302314 is a wasteful number, since it uses less digits than its factorization.

2302314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2302314 is about 1517.3378002278. The cubic root of 2302314 is about 132.0448653734.

Adding to 2302314 its reverse (4132032), we get a palindrome (6434346).

The spelling of 2302314 in words is "two million, three hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 191 246 287 294 382 573 574 861 1146 1337 1722 2009 2674 4011 4018 6027 7831 8022 9359 12054 15662 18718 23493 28077 46986 54817 56154 109634 164451 328902 383719 767438 1151157 2302314