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380241360 = 243253671439
BaseRepresentation
bin10110101010100…
…000010111010000
3222111111021002100
4112222200113100
51234320210420
6101421520400
712264666252
oct2652402720
9874437070
10380241360
111856aaa64
12a7413100
1360a13cb5
14386ddcd2
15235ae190
hex16aa05d0

380241360 has 120 divisors (see below), whose sum is σ = 1281346560. Its totient is φ = 101051136.

The previous prime is 380241353. The next prime is 380241383. The reversal of 380241360 is 63142083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263521 + ... + 264959.

It is an arithmetic number, because the mean of its divisors is an integer number (10677888).

Almost surely, 2380241360 is an apocalyptic number.

380241360 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 380241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640673280).

380241360 is an abundant number, since it is smaller than the sum of its proper divisors (901105200).

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

380241360 is a wasteful number, since it uses less digits than its factorization.

380241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380241360 is about 19499.7784602800. The cubic root of 380241360 is about 724.4689634881.

The spelling of 380241360 in words is "three hundred eighty million, two hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 367 720 734 1101 1439 1468 1835 2202 2878 2936 3303 3670 4317 4404 5505 5756 5872 6606 7195 7340 8634 8808 11010 11512 12951 13212 14390 14680 16515 17268 17616 21585 22020 23024 25902 26424 28780 29360 33030 34536 43170 44040 51804 52848 57560 64755 66060 69072 86340 88080 103608 115120 129510 132120 172680 207216 259020 264240 345360 518040 528113 1036080 1056226 1584339 2112452 2640565 3168678 4224904 4753017 5281130 6337356 7921695 8449808 9506034 10562260 12674712 15843390 19012068 21124520 23765085 25349424 31686780 38024136 42249040 47530170 63373560 76048272 95060340 126747120 190120680 380241360