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334021344 = 253109137233
BaseRepresentation
bin10011111010001…
…100001011100000
3212021112001010220
4103322030023200
51141002140334
653051123040
711164064106
oct2372141340
9767461126
10334021344
111616011a8
1293a43480
1354280287
143250bc76
151e4ce449
hex13e8c2e0

334021344 has 96 divisors (see below), whose sum is σ = 895134240. Its totient is φ = 109043712.

The previous prime is 334021327. The next prime is 334021357. The reversal of 334021344 is 443120433.

334021344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3340213442 = 223140516495132672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433452 + ... + 1433684.

It is an arithmetic number, because the mean of its divisors is an integer number (9324315).

Almost surely, 2334021344 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 334021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447567120).

334021344 is an abundant number, since it is smaller than the sum of its proper divisors (561112896).

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

334021344 is a wasteful number, since it uses less digits than its factorization.

334021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 334021344 is about 18276.2508190274. The cubic root of 334021344 is about 693.8379864705.

Adding to 334021344 its reverse (443120433), we get a palindrome (777141777).

The spelling of 334021344 in words is "three hundred thirty-four million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 137 218 233 274 327 411 436 466 548 654 699 822 872 932 1096 1308 1398 1644 1744 1864 2192 2616 2796 3288 3488 3728 4384 5232 5592 6576 7456 10464 11184 13152 14933 22368 25397 29866 31921 44799 50794 59732 63842 76191 89598 95763 101588 119464 127684 152382 179196 191526 203176 238928 255368 304764 358392 383052 406352 477856 510736 609528 716784 766104 812704 1021472 1219056 1433568 1532208 2438112 3064416 3479389 6958778 10438167 13917556 20876334 27835112 41752668 55670224 83505336 111340448 167010672 334021344