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378689360 = 24576710093
BaseRepresentation
bin10110100100100…
…101011101010000
3222101120102010212
4112210211131100
51233421024420
6101324343252
712245543420
oct2644453520
9871512125
10378689360
1118483aa15
12a69a4b28
13605bc75a
1438418480
15233a43c5
hex16925750

378689360 has 80 divisors (see below), whose sum is σ = 1021351296. Its totient is φ = 127885824.

The previous prime is 378689351. The next prime is 378689431. The reversal of 378689360 is 63986873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 378689299 and 378689308.

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, 32474 + ... + 42566.

Almost surely, 2378689360 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 378689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510675648).

378689360 is an abundant number, since it is smaller than the sum of its proper divisors (642661936).

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

378689360 is a wasteful number, since it uses less digits than its factorization.

378689360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 378689360 is about 19459.9424459581. The cubic root of 378689360 is about 723.4819508643.

The spelling of 378689360 in words is "three hundred seventy-eight million, six hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 10093 18760 20186 37520 40372 50465 70651 80744 100930 141302 161488 201860 282604 353255 403720 565208 676231 706510 807440 1130416 1352462 1413020 2704924 2826040 3381155 4733617 5409848 5652080 6762310 9467234 10819696 13524620 18934468 23668085 27049240 37868936 47336170 54098480 75737872 94672340 189344680 378689360