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379384320 = 293577057
BaseRepresentation
bin10110100111001…
…111001000000000
3222102212201110010
4112213033020000
51234110244240
6101351304520
712254466510
oct2647171000
9872781403
10379384320
11185175067
12a707b140
13607a3b83
1438559840
1523490280
hex169cf200

379384320 has 160 divisors (see below), whose sum is σ = 1386304128. Its totient is φ = 86704128.

The previous prime is 379384303. The next prime is 379384321. The reversal of 379384320 is 23483973.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (379384321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50232 + ... + 57288.

Almost surely, 2379384320 is an apocalyptic number.

379384320 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 379384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693152064).

379384320 is an abundant number, since it is smaller than the sum of its proper divisors (1006919808).

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

379384320 is an equidigital number, since it uses as much as digits as its factorization.

379384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 379384320 is about 19477.7904291016. The cubic root of 379384320 is about 723.9242516114.

The spelling of 379384320 in words is "three hundred seventy-nine million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7057 7680 8960 10752 13440 14114 17920 21171 26880 28228 35285 42342 49399 53760 56456 70570 84684 98798 105855 112912 141140 148197 169368 197596 211710 225824 246995 282280 296394 338736 395192 423420 451648 493990 564560 592788 677472 740985 790384 846840 903296 987980 1129120 1185576 1354944 1481970 1580768 1693680 1806592 1975960 2258240 2371152 2709888 2963940 3161536 3387360 3613184 3951920 4516480 4742304 5419776 5927880 6323072 6774720 7903840 9032960 9484608 10839552 11855760 12646144 13549440 15807680 18065920 18969216 23711520 25292288 27098880 31615360 37938432 47423040 54197760 63230720 75876864 94846080 126461440 189692160 379384320