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378927640 = 235713195479
BaseRepresentation
bin10110100101011…
…111101000011000
3222102000112000001
4112211133220120
51234001141030
6101333422344
712250555210
oct2645375030
9872015001
10378927640
11184992a43
12a6a9a9b4
1360674050
143847b240
15233eecca
hex1695fa18

378927640 has 128 divisors (see below), whose sum is σ = 1104768000. Its totient is φ = 113591808.

The previous prime is 378927631. The next prime is 378927643. The reversal of 378927640 is 46729873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378927643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66421 + ... + 71899.

It is an arithmetic number, because the mean of its divisors is an integer number (8631000).

Almost surely, 2378927640 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 378927640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552384000).

378927640 is an abundant number, since it is smaller than the sum of its proper divisors (725840360).

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

378927640 is a wasteful number, since it uses less digits than its factorization.

378927640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 378927640 is about 19466.0638034504. The cubic root of 378927640 is about 723.6336628413.

The spelling of 378927640 in words is "three hundred seventy-eight million, nine hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 5479 6916 8645 9880 10958 13832 17290 21916 27395 34580 38353 43832 54790 69160 71227 76706 104101 109580 142454 153412 191765 208202 219160 284908 306824 356135 383530 416404 498589 520505 569816 712270 728707 767060 832808 997178 1041010 1353313 1424540 1457414 1534120 1994356 2082020 2492945 2706626 2849080 2914828 3643535 3988712 4164040 4985890 5413252 5829656 6766565 7287070 9473191 9971780 10826504 13533130 14574140 18946382 19943560 27066260 29148280 37892764 47365955 54132520 75785528 94731910 189463820 378927640