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380882960 = 24517280061
BaseRepresentation
bin10110101100111…
…101000000010000
3222112200212012022
4112230331000100
51240001223320
6101443351012
712303310643
oct2654750020
9875625168
10380882960
11185aa9007
12a7682468
1360baa043
1438829a5a
1523689325
hex16b3d010

380882960 has 40 divisors (see below), whose sum is σ = 937647576. Its totient is φ = 143390720.

The previous prime is 380882947. The next prime is 380882969. The reversal of 380882960 is 69288083.

It can be written as a sum of positive squares in 4 ways, for example, as 109160704 + 271722256 = 10448^2 + 16484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (380882969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138671 + ... + 141390.

Almost surely, 2380882960 is an apocalyptic number.

It is an amenable number.

380882960 is an abundant number, since it is smaller than the sum of its proper divisors (556764616).

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

380882960 is a wasteful number, since it uses less digits than its factorization.

380882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280091 (or 280085 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 380882960 is about 19516.2229952417. Note that the first 3 decimals coincide. The cubic root of 380882960 is about 724.8762119212.

It can be divided in two parts, 3808 and 82960, that added together give a palindrome (86768).

The spelling of 380882960 in words is "three hundred eighty million, eight hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 280061 560122 1120244 1400305 2240488 2800610 4480976 4761037 5601220 9522074 11202440 19044148 22404880 23805185 38088296 47610370 76176592 95220740 190441480 380882960