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334428 = 22329312
BaseRepresentation
bin1010001101001011100
3121222202020
41101221130
541200203
611100140
72562003
oct1215134
9558666
10334428
11209296
12141650
13b92b3
1489c3a
1569153
hex51a5c

334428 has 36 divisors (see below), whose sum is σ = 834120. Its totient is φ = 104160.

The previous prime is 334427. The next prime is 334429. The reversal of 334428 is 824433.

It is an interprime number because it is at equal distance from previous prime (334427) and next prime (334429).

It is a super-2 number, since 2×3344282 = 223684174368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334398 and 334407.

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 334428.

It is not an unprimeable number, because it can be changed into a prime (334421) 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, 10773 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (23170).

2334428 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 334428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417060).

334428 is an abundant number, since it is smaller than the sum of its proper divisors (499692).

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

334428 is a wasteful number, since it uses less digits than its factorization.

334428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 334428 is about 578.2975012915. The cubic root of 334428 is about 69.4119444487.

The spelling of 334428 in words is "three hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 961 1798 1922 2697 2883 3596 3844 5394 5766 10788 11532 27869 55738 83607 111476 167214 334428