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334242 = 23231599
BaseRepresentation
bin1010001100110100010
3121222111100
41101212202
541143432
611055230
72561316
oct1214642
9558440
10334242
11209137
12141516
13b919c
1489b46
156907c
hex519a2

334242 has 24 divisors (see below), whose sum is σ = 748800. Its totient is φ = 107640.

The previous prime is 334231. The next prime is 334247. The reversal of 334242 is 242433.

It is a super-2 number, since 2×3342422 = 223435429128, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 36 + 310 + 25 + 46 + 49 + 213 .

It is not an unprimeable number, because it can be changed into a prime (334247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2334242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

334242 is an abundant number, since it is smaller than the sum of its proper divisors (414558).

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

334242 is a wasteful number, since it uses less digits than its factorization.

334242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 334242 is about 578.1366620445. The cubic root of 334242 is about 69.3990737003.

Adding to 334242 its reverse (242433), we get a palindrome (576675).

Subtracting from 334242 its reverse (242433), we obtain a square (91809 = 3032).

It can be divided in two parts, 334 and 242, that added together give a square (576 = 242).

The spelling of 334242 in words is "three hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 599 1198 1797 3594 5391 10782 18569 37138 55707 111414 167121 334242