Search a number
-
+
343416 = 23341349
BaseRepresentation
bin1010011110101111000
3122110002010
41103311320
541442131
611205520
72630133
oct1236570
9573063
10343416
11215017
121468a0
13c0408
148d21a
156bb46
hex53d78

343416 has 32 divisors (see below), whose sum is σ = 882000. Its totient is φ = 111360.

The previous prime is 343411. The next prime is 343423. The reversal of 343416 is 614343.

343416 = T289 + T290 + ... + T296.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 343392 and 343401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 1158.

2343416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441000).

343416 is an abundant number, since it is smaller than the sum of its proper divisors (538584).

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

343416 is a wasteful number, since it uses less digits than its factorization.

343416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 343416 is about 586.0170645980. The cubic root of 343416 is about 70.0282878867.

Adding to 343416 its reverse (614343), we get a palindrome (957759).

The spelling of 343416 in words is "three hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 349 492 698 984 1047 1396 2094 2792 4188 8376 14309 28618 42927 57236 85854 114472 171708 343416