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379830880 = 255111321277
BaseRepresentation
bin10110101000111…
…100001001100000
3222110201102000101
4112220330021200
51234214042010
6101405032144
712261336442
oct2650741140
9873642011
10379830880
1118544a620
12a7255654
13608cc200
1438634492
152352c73a
hex16a3c260

379830880 has 144 divisors (see below), whose sum is σ = 1060852464. Its totient is φ = 127395840.

The previous prime is 379830851. The next prime is 379830887. The reversal of 379830880 is 88038973.

It is a self number, because there is not a number n which added to its sum of digits gives 379830880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379830887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296802 + ... + 298078.

It is an arithmetic number, because the mean of its divisors is an integer number (7367031).

Almost surely, 2379830880 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 379830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530426232).

379830880 is an abundant number, since it is smaller than the sum of its proper divisors (681021584).

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

379830880 is a wasteful number, since it uses less digits than its factorization.

379830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 379830880 is about 19489.2503703965. The cubic root of 379830880 is about 724.2081755383.

The spelling of 379830880 in words is "three hundred seventy-nine million, eight hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 169 176 208 220 260 286 338 352 416 440 520 572 676 715 845 880 1040 1144 1277 1352 1430 1690 1760 1859 2080 2288 2554 2704 2860 3380 3718 4576 5108 5408 5720 6385 6760 7436 9295 10216 11440 12770 13520 14047 14872 16601 18590 20432 22880 25540 27040 28094 29744 33202 37180 40864 51080 56188 59488 66404 70235 74360 83005 102160 112376 132808 140470 148720 166010 182611 204320 215813 224752 265616 280940 297440 332020 365222 431626 449504 531232 561880 664040 730444 863252 913055 1079065 1123760 1328080 1460888 1726504 1826110 2158130 2247520 2373943 2656160 2921776 3453008 3652220 4316260 4747886 5843552 6906016 7304440 8632520 9495772 11869715 14608880 17265040 18991544 23739430 29217760 34530080 37983088 47478860 75966176 94957720 189915440 379830880