Search a number
-
+
379401660 = 2232511892153
BaseRepresentation
bin10110100111010…
…011010110111100
3222102220121020100
4112213103112330
51234111323120
6101351521100
712254601201
oct2647232674
9872817210
10379401660
111851870a0
12a7089190
13607aba31
1438561ca8
1523495490
hex169d35bc

379401660 has 144 divisors (see below), whose sum is σ = 1270170720. Its totient is φ = 90900480.

The previous prime is 379401643. The next prime is 379401661. The reversal of 379401660 is 66104973.

It is a super-2 number, since 2×3794016602 = 287891239221511200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379401661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175144 + ... + 177296.

It is an arithmetic number, because the mean of its divisors is an integer number (8820630).

Almost surely, 2379401660 is an apocalyptic number.

379401660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379401660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635085360).

379401660 is an abundant number, since it is smaller than the sum of its proper divisors (890769060).

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

379401660 is a wasteful number, since it uses less digits than its factorization.

379401660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 379401660 is about 19478.2355463733. The cubic root of 379401660 is about 723.9352805817.

The spelling of 379401660 in words is "three hundred seventy-nine million, four hundred one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2153 2670 2937 3204 3916 4005 4306 4895 5340 5874 6459 8010 8612 8811 9790 10765 11748 12918 14685 16020 17622 19377 19580 21530 23683 25836 29370 32295 35244 38754 43060 44055 47366 58740 64590 71049 77508 88110 94732 96885 118415 129180 142098 176220 191617 193770 213147 236830 284196 355245 383234 387540 426294 473660 574851 710490 766468 852588 958085 1065735 1149702 1420980 1724553 1916170 2107787 2131470 2299404 2874255 3449106 3832340 4215574 4262940 5748510 6323361 6898212 8431148 8622765 10538935 11497020 12646722 17245530 18970083 21077870 25293444 31616805 34491060 37940166 42155740 63233610 75880332 94850415 126467220 189700830 379401660