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1314306 = 23471961
BaseRepresentation
bin101000000111000000010
32110202220000
411000320002
5314024211
644100430
714112540
oct5007002
92422800
101314306
11818504
12534716
133702c6
14262d90
151ae656
hex140e02

1314306 has 80 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 349920.

The previous prime is 1314301. The next prime is 1314317. The reversal of 1314306 is 6034131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21516 + ... + 21576.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

21314306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1314306 is an abundant number, since it is smaller than the sum of its proper divisors (2286654).

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

1314306 is a wasteful number, since it uses less digits than its factorization.

1314306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1314306 is about 1146.4318558030. The cubic root of 1314306 is about 109.5381739674.

Adding to 1314306 its reverse (6034131), we get a palindrome (7348437).

The spelling of 1314306 in words is "one million, three hundred fourteen thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 61 63 81 114 122 126 133 162 171 183 189 266 342 366 378 399 427 513 549 567 798 854 1026 1098 1134 1159 1197 1281 1539 1647 2318 2394 2562 3078 3294 3477 3591 3843 4941 6954 7182 7686 8113 9882 10431 10773 11529 16226 20862 21546 23058 24339 31293 34587 48678 62586 69174 73017 93879 146034 187758 219051 438102 657153 1314306