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BaseRepresentation
bin10111000110110…
…111101100100000
31000000111000210221
4113012313230200
51243221130320
6102245132424
712415125346
oct2706675440
91000430727
10387676960
11189919490
12a99ba114
1362418568
14396b7996
152407c3aa
hex171b7b20

387676960 has 192 divisors, whose sum is σ = 1066431744. Its totient is φ = 131788800.

The previous prime is 387676957. The next prime is 387676967. The reversal of 387676960 is 69676783.

It is a junction number, because it is equal to n+sod(n) for n = 387676898 and 387676907.

It is not an unprimeable number, because it can be changed into a prime (387676967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2469202 + ... + 2469358.

It is an arithmetic number, because the mean of its divisors is an integer number (5554332).

Almost surely, 2387676960 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 387676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533215872).

387676960 is an abundant number, since it is smaller than the sum of its proper divisors (678754784).

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

387676960 is a wasteful number, since it uses less digits than its factorization.

387676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 387676960 is about 19689.5139604816. The cubic root of 387676960 is about 729.1608296603.

The spelling of 387676960 in words is "three hundred eighty-seven million, six hundred seventy-six thousand, nine hundred sixty".