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3368046240 = 2532513179917
BaseRepresentation
bin1100100011000000…
…0100111010100000
322200201120110212100
43020300010322200
523344204434430
61314112530400
7146314630536
oct31060047240
98621513770
103368046240
1114791a0a99
1279bb50a00
13418a18790
1423d450156
1514aa44960
hexc8c04ea0

3368046240 has 144 divisors (see below), whose sum is σ = 12377638728. Its totient is φ = 829052928.

The previous prime is 3368046197. The next prime is 3368046277. The reversal of 3368046240 is 426408633.

It is a happy number.

3368046240 is a `hidden beast` number, since 336 + 80 + 4 + 6 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2801796624 + 566249616 = 52932^2 + 23796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33680462402 = 22687470949556275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3368046195 and 3368046204.

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 23 ways as a sum of consecutive naturals, for example, 71239 + ... + 108678.

Almost surely, 23368046240 is an apocalyptic number.

3368046240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3368046240 is an abundant number, since it is smaller than the sum of its proper divisors (9009592488).

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

3368046240 is a wasteful number, since it uses less digits than its factorization.

3368046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179951 (or 179940 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3368046240 is about 58034.8708967290. The cubic root of 3368046240 is about 1498.9691049993.

The spelling of 3368046240 in words is "three billion, three hundred sixty-eight million, forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 179917 359834 539751 719668 899585 1079502 1439336 1619253 1799170 2159004 2338921 2698755 2878672 3238506 3598340 4318008 4677842 5397510 5757344 6477012 7016763 7196680 8096265 8636016 9355684 10795020 11694605 12954024 14033526 14393360 16192530 17272032 18711368 21050289 21590040 23389210 25908048 28067052 28786720 32385060 35083815 37422736 42100578 43180080 46778420 51816096 56134104 64770120 70167630 74845472 84201156 86360160 93556840 105251445 112268208 129540240 140335260 168402312 187113680 210502890 224536416 259080480 280670520 336804624 374227360 421005780 561341040 673609248 842011560 1122682080 1684023120 3368046240