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334304 = 2531337
BaseRepresentation
bin1010001100111100000
3121222120122
41101213200
541144204
611055412
72561435
oct1214740
9558518
10334304
11209193
12141568
13b9219
1489b8c
15690be
hex519e0

334304 has 24 divisors (see below), whose sum is σ = 681408. Its totient is φ = 161280.

The previous prime is 334297. The next prime is 334319. The reversal of 334304 is 403433.

It is a super-2 number, since 2×3343042 = 223518328832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

334304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 824 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2334304 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 334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

334304 is an abundant number, since it is smaller than the sum of its proper divisors (347104).

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

334304 is a wasteful number, since it uses less digits than its factorization.

334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 334304 is about 578.1902800982. The cubic root of 334304 is about 69.4033644802.

Adding to 334304 its reverse (403433), we get a palindrome (737737).

The spelling of 334304 in words is "three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 337 496 674 992 1348 2696 5392 10447 10784 20894 41788 83576 167152 334304