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334300320 = 25325232153
BaseRepresentation
bin10011111011010…
…000010010100000
3212022001012211100
4103323100102200
51141040102240
653101114400
711166335334
oct2373202240
9768035740
10334300320
11161781862
1293b58a00
135434a253
14325817c4
151e536e30
hex13ed04a0

334300320 has 72 divisors (see below), whose sum is σ = 1140804756. Its totient is φ = 89146368.

The previous prime is 334300301. The next prime is 334300357. The reversal of 334300320 is 23003433.

334300320 is a `hidden beast` number, since 3 + 343 + 0 + 0 + 320 = 666.

334300320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 323568144 + 10732176 = 17988^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3343003202 = 223513407904204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334300293 and 334300302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114637 + ... + 117516.

Almost surely, 2334300320 is an apocalyptic number.

334300320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334300320 is an abundant number, since it is smaller than the sum of its proper divisors (806504436).

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

334300320 is a wasteful number, since it uses less digits than its factorization.

334300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232174 (or 232163 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 334300320 is about 18283.8814259992. The cubic root of 334300320 is about 694.0310981644.

Adding to 334300320 its reverse (23003433), we get a palindrome (357303753).

The spelling of 334300320 in words is "three hundred thirty-four million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 232153 464306 696459 928612 1160765 1392918 1857224 2089377 2321530 2785836 3482295 3714448 4178754 4643060 5571672 6964590 7428896 8357508 9286120 10446885 11143344 13929180 16715016 18572240 20893770 22286688 27858360 33430032 37144480 41787540 55716720 66860064 83575080 111433440 167150160 334300320