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380529240 = 233571334847
BaseRepresentation
bin10110101011100…
…110101001011000
3222112000212222120
4112223212221120
51234403413430
6101432021240
712300305460
oct2653465130
9875025876
10380529240
11185887283
12a7531820
1360ab5040
1438776ba0
1523619610
hex16ae6a58

380529240 has 128 divisors (see below), whose sum is σ = 1405071360. Its totient is φ = 80285184.

The previous prime is 380529161. The next prime is 380529251. The reversal of 380529240 is 42925083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6504 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2380529240 is an apocalyptic number.

380529240 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 380529240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).

380529240 is an abundant number, since it is smaller than the sum of its proper divisors (1024542120).

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

380529240 is a wasteful number, since it uses less digits than its factorization.

380529240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34881 (or 34877 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 380529240 is about 19507.1586859799. The cubic root of 380529240 is about 724.6517487185.

The spelling of 380529240 in words is "three hundred eighty million, five hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 34847 69694 104541 139388 174235 209082 243929 278776 348470 418164 453011 487858 522705 696940 731787 836328 906022 975716 1045410 1219645 1359033 1393880 1463574 1812044 1951432 2090820 2265055 2439290 2718066 2927148 3171077 3624088 3658935 4181640 4530110 4878580 5436132 5854296 6342154 6795165 7317870 9060220 9513231 9757160 10872264 12684308 13590330 14635740 15855385 18120440 19026462 25368616 27180660 29271480 31710770 38052924 47566155 54361320 63421540 76105848 95132310 126843080 190264620 380529240