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4213314 = 2327217281
BaseRepresentation
bin10000000100101001000010
321221001120200
4100010221002
52034311224
6230150030
750545500
oct20045102
97831520
104213314
112418586
1214b2316
13b469b1
147b9670
155835c9
hex404a42

4213314 has 72 divisors (see below), whose sum is σ = 11283948. Its totient is φ = 1128960.

The previous prime is 4213309. The next prime is 4213333. The reversal of 4213314 is 4133124.

It can be written as a sum of positive squares in 2 ways, for example, as 3980025 + 233289 = 1995^2 + 483^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14854 + ... + 15134.

Almost surely, 24213314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641974).

4213314 is an abundant number, since it is smaller than the sum of its proper divisors (7070634).

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

4213314 is a wasteful number, since it uses less digits than its factorization.

4213314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

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

The square root of 4213314 is about 2052.6358663923. The cubic root of 4213314 is about 161.5131703995.

Adding to 4213314 its reverse (4133124), we get a palindrome (8346438).

The spelling of 4213314 in words is "four million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 281 294 306 357 441 562 714 833 843 882 1071 1666 1686 1967 2142 2499 2529 3934 4777 4998 5058 5901 7497 9554 11802 13769 14331 14994 17703 27538 28662 33439 35406 41307 42993 66878 82614 85986 100317 123921 200634 234073 247842 300951 468146 601902 702219 1404438 2106657 4213314