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334014330 = 23513899623
BaseRepresentation
bin10011111010001…
…010011101111010
3212021111200112010
4103322022131322
51141001424310
653051030350
711164034466
oct2372123572
9767450463
10334014330
111615a6a01
1293a3b3b6
135427a020
14325094a6
151e4cc320
hex13e8a77a

334014330 has 64 divisors (see below), whose sum is σ = 873089280. Its totient is φ = 81286656.

The previous prime is 334014287. The next prime is 334014353. The reversal of 334014330 is 33410433.

It is a super-2 number, since 2×3340143302 = 223131145290697800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334014297 and 334014306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29899 + ... + 39521.

It is an arithmetic number, because the mean of its divisors is an integer number (13642020).

Almost surely, 2334014330 is an apocalyptic number.

334014330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334014330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436544640).

334014330 is an abundant number, since it is smaller than the sum of its proper divisors (539074950).

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

334014330 is a wasteful number, since it uses less digits than its factorization.

334014330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 334014330 is about 18276.0589296489. The cubic root of 334014330 is about 693.8331298810.

Adding to 334014330 its reverse (33410433), we get a palindrome (367424763).

The spelling of 334014330 in words is "three hundred thirty-four million, fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3471 5785 6942 9623 11570 17355 19246 28869 34710 48115 57738 96230 125099 144345 250198 288690 375297 625495 750594 856447 1250990 1712894 1876485 2569341 3752970 4282235 5138682 8564470 11133811 12846705 22267622 25693410 33401433 55669055 66802866 111338110 167007165 334014330