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3368671360 = 2758959141
BaseRepresentation
bin1100100011001001…
…1101100010000000
322200202202020100221
43020302131202000
523344334440420
61314134152424
7146323143205
oct31062354200
98622666327
103368671360
11147958871a
127a01b2714
13418ba7182
1423d573cac
1514ab19caa
hexc8c9d880

3368671360 has 64 divisors (see below), whose sum is σ = 8143853400. Its totient is φ = 1332305920.

The previous prime is 3368671357. The next prime is 3368671391. The reversal of 3368671360 is 631768633.

It can be written as a sum of positive squares in 4 ways, for example, as 2394732096 + 973939264 = 48936^2 + 31208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33686713602 = 22695893463368499200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27390 + ... + 86530.

Almost surely, 23368671360 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 3368671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071926700).

3368671360 is an abundant number, since it is smaller than the sum of its proper divisors (4775182040).

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

3368671360 is an equidigital number, since it uses as much as digits as its factorization.

3368671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59249 (or 59237 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 3368671360 is about 58040.2563743476. The cubic root of 3368671360 is about 1499.0618370596.

The spelling of 3368671360 in words is "three billion, three hundred sixty-eight million, six hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2848 3560 5696 7120 11392 14240 28480 56960 59141 118282 236564 295705 473128 591410 946256 1182820 1892512 2365640 3785024 4731280 5263549 7570048 9462560 10527098 18925120 21054196 26317745 37850240 42108392 52635490 84216784 105270980 168433568 210541960 336867136 421083920 673734272 842167840 1684335680 3368671360