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2314314 = 2321967101
BaseRepresentation
bin1000110101000001001010
311100120122100
420311001022
51043024224
6121334230
725446162
oct10650112
94316570
102314314
111340862
12937376
13630522
144435a2
1530aac9
hex23504a

2314314 has 48 divisors (see below), whose sum is σ = 5410080. Its totient is φ = 712800.

The previous prime is 2314309. The next prime is 2314339. The reversal of 2314314 is 4134132.

2314314 is a `hidden beast` number, since 231 + 431 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 22864 + ... + 22964.

It is an arithmetic number, because the mean of its divisors is an integer number (112710).

22314314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705040).

2314314 is an abundant number, since it is smaller than the sum of its proper divisors (3095766).

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

2314314 is a wasteful number, since it uses less digits than its factorization.

2314314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2314314 is about 1521.2869551797. The cubic root of 2314314 is about 132.2738803817.

Adding to 2314314 its reverse (4134132), we get a palindrome (6448446).

It can be divided in two parts, 2314 and 314, that added together give a triangular number (2628 = T72).

The spelling of 2314314 in words is "two million, three hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 67 101 114 134 171 201 202 303 342 402 603 606 909 1206 1273 1818 1919 2546 3819 3838 5757 6767 7638 11457 11514 13534 17271 20301 22914 34542 40602 60903 121806 128573 257146 385719 771438 1157157 2314314