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334928 = 24112173
BaseRepresentation
bin1010001110001010000
3122000102202
41101301100
541204203
611102332
72563316
oct1216120
9560382
10334928
11209700
121419a8
13b95a9
148a0b6
1569388
hex51c50

334928 has 30 divisors (see below), whose sum is σ = 717402. Its totient is φ = 151360.

The previous prime is 334897. The next prime is 334931. The reversal of 334928 is 829433.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 7744 = 572^2 + 88^2 .

It is a super-2 number, since 2×3349282 = 224353530368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334928.

It is a congruent number.

It is an unprimeable number.

334928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1850 + ... + 2022.

2334928 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 334928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358701).

334928 is an abundant number, since it is smaller than the sum of its proper divisors (382474).

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

334928 is a wasteful number, since it uses less digits than its factorization.

334928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 334928 is about 578.7296432705. The cubic root of 334928 is about 69.4465195943.

The spelling of 334928 in words is "three hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 173 176 242 346 484 692 968 1384 1903 1936 2768 3806 7612 15224 20933 30448 41866 83732 167464 334928