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386228960 = 255131929337
BaseRepresentation
bin10111000001010…
…110001011100000
3222220202110112022
4113001112023200
51242333311320
6102154121012
712366614645
oct2701261340
9886673468
10386228960
1118901a597
12a9420168
136202c460
143941bdcc
1523d93325
hex170562e0

386228960 has 192 divisors, whose sum is σ = 1073217600. Its totient is φ = 130056192.

The previous prime is 386228957. The next prime is 386229007. The reversal of 386228960 is 69822683.

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, 1145912 + ... + 1146248.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2386228960 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 386228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536608800).

386228960 is an abundant number, since it is smaller than the sum of its proper divisors (686988640).

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

386228960 is a wasteful number, since it uses less digits than its factorization.

386228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 386228960 is about 19652.7087191562. The cubic root of 386228960 is about 728.2518751690.

The spelling of 386228960 in words is "three hundred eighty-six million, two hundred twenty-eight thousand, nine hundred sixty".