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380141568 = 215321289
BaseRepresentation
bin10110101010001…
…000000000000000
3222111022012012100
4112222020000000
51234304012233
6101415430400
712264102312
oct2652100000
9874265170
10380141568
11185641a94
12a7385400
13609aa751
14386b57b2
152358e813
hex16a88000

380141568 has 96 divisors (see below), whose sum is σ = 1099021950. Its totient is φ = 126615552.

The previous prime is 380141563. The next prime is 380141581. The reversal of 380141568 is 865141083.

380141568 is a `hidden beast` number, since 3 + 80 + 14 + 1 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272646144 + 107495424 = 16512^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3801415682 = 289015223442997248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380141563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294268 + ... + 295556.

Almost surely, 2380141568 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 380141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549510975).

380141568 is an abundant number, since it is smaller than the sum of its proper divisors (718880382).

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

380141568 is an equidigital number, since it uses as much as digits as its factorization.

380141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 380141568 is about 19497.2194940715. The cubic root of 380141568 is about 724.4055804723.

It can be divided in two parts, 3801 and 41568, that added together give a square (45369 = 2132).

The spelling of 380141568 in words is "three hundred eighty million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1289 1536 2048 2304 2578 3072 3867 4096 4608 5156 6144 7734 8192 9216 10312 11601 12288 15468 16384 18432 20624 23202 24576 30936 32768 36864 41248 46404 49152 61872 73728 82496 92808 98304 123744 147456 164992 185616 247488 294912 329984 371232 494976 659968 742464 989952 1319936 1484928 1979904 2639872 2969856 3959808 5279744 5939712 7919616 10559488 11879424 15839232 21118976 23758848 31678464 42237952 47517696 63356928 95035392 126713856 190070784 380141568