Search a number
-
+
342414 = 23317373
BaseRepresentation
bin1010011100110001110
3122101201000
41103212032
541424124
611201130
72624202
oct1234616
9571630
10342414
11214296
121461a6
13bcb17
148cb02
156b6c9
hex5398e

342414 has 32 divisors (see below), whose sum is σ = 807840. Its totient is φ = 107136.

The previous prime is 342413. The next prime is 342421. The reversal of 342414 is 414243.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 342414.

It is not an unprimeable number, because it can be changed into a prime (342413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (25245).

2342414 is an apocalyptic number.

342414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403920).

342414 is an abundant number, since it is smaller than the sum of its proper divisors (465426).

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

342414 is a wasteful number, since it uses less digits than its factorization.

342414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 342414 is about 585.1615161646. The cubic root of 342414 is about 69.9601133309.

Adding to 342414 its reverse (414243), we get a palindrome (756657).

The spelling of 342414 in words is "three hundred forty-two thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 373 459 746 918 1119 2238 3357 6341 6714 10071 12682 19023 20142 38046 57069 114138 171207 342414