Search a number
-
+
385120128 = 2731002917
BaseRepresentation
bin10110111101000…
…111011110000000
3222211200010111110
4112331013132000
51242042321003
6102114243320
712354316131
oct2675073600
9884603443
10385120128
111884324a8
12a8b86540
1361a31843
143920dc88
1523c24a03
hex16f47780

385120128 has 32 divisors (see below), whose sum is σ = 1022976360. Its totient is φ = 128373248.

The previous prime is 385120069. The next prime is 385120129. The reversal of 385120128 is 821021583.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 385120095 and 385120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385120129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 501075 + ... + 501842.

Almost surely, 2385120128 is an apocalyptic number.

It is an amenable number.

385120128 is an abundant number, since it is smaller than the sum of its proper divisors (637856232).

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

385120128 is a wasteful number, since it uses less digits than its factorization.

385120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002934 (or 1002922 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 385120128 is about 19624.4777764913. The cubic root of 385120128 is about 727.5542898279.

The spelling of 385120128 in words is "three hundred eighty-five million, one hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1002917 2005834 3008751 4011668 6017502 8023336 12035004 16046672 24070008 32093344 48140016 64186688 96280032 128373376 192560064 385120128