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338740380 = 223451119009
BaseRepresentation
bin10100001100001…
…100010010011100
3212121101210110000
4110030030102130
51143204143010
653340214300
711252150166
oct2414142234
9777353400
10338740380
11164234730
129553a390
13552431c4
1432db9936
151eb127c0
hex1430c49c

338740380 has 120 divisors (see below), whose sum is σ = 1159305840. Its totient is φ = 82114560.

The previous prime is 338740357. The next prime is 338740397. The reversal of 338740380 is 83047833.

It is a super-2 number, since 2×3387403802 = 229490090085088800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8316 + ... + 27324.

It is an arithmetic number, because the mean of its divisors is an integer number (9660882).

Almost surely, 2338740380 is an apocalyptic number.

338740380 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 338740380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579652920).

338740380 is an abundant number, since it is smaller than the sum of its proper divisors (820565460).

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

338740380 is a wasteful number, since it uses less digits than its factorization.

338740380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19041 (or 19030 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 338740380 is about 18404.9009777287. The cubic root of 338740380 is about 697.0902206279.

The spelling of 338740380 in words is "three hundred thirty-eight million, seven hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 19009 38018 57027 76036 95045 114054 171081 190090 209099 228108 285135 342162 380180 418198 513243 570270 627297 684324 836396 855405 1026486 1045495 1140540 1254594 1539729 1710810 1881891 2052972 2090990 2509188 2566215 3079458 3136485 3421620 3763782 4181980 5132430 5645673 6158916 6272970 7527564 7698645 9409455 10264860 11291346 12545940 15397290 16937019 18818910 22582692 28228365 30794580 33874038 37637820 56456730 67748076 84685095 112913460 169370190 338740380