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334382080 = 210565309
BaseRepresentation
bin10011111011100…
…100010000000000
3212022012100222111
4103323210100000
51141100211310
653102545104
711200125604
oct2373442000
9768170874
10334382080
1116182822a
1293b98194
1354378526
14325a3504
151e55128a
hex13ee4400

334382080 has 44 divisors (see below), whose sum is σ = 802137420. Its totient is φ = 133750784.

The previous prime is 334382077. The next prime is 334382099. The reversal of 334382080 is 80283433.

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 129777664 = 14304^2 + 11392^2 .

It is a super-2 number, since 2×3343820802 = 223622750850252800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27535 + ... + 37774.

Almost surely, 2334382080 is an apocalyptic number.

It is an amenable number.

334382080 is an abundant number, since it is smaller than the sum of its proper divisors (467755340).

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

334382080 is an equidigital number, since it uses as much as digits as its factorization.

334382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65334 (or 65316 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 334382080 is about 18286.1171384195. The cubic root of 334382080 is about 694.0876733991.

The spelling of 334382080 in words is "three hundred thirty-four million, three hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 65309 130618 261236 326545 522472 653090 1044944 1306180 2089888 2612360 4179776 5224720 8359552 10449440 16719104 20898880 33438208 41797760 66876416 83595520 167191040 334382080