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385024 = 21347
BaseRepresentation
bin1011110000000000000
3201120011011
41132000000
544310044
612130304
73162343
oct1360000
9646134
10385024
11243302
12166994
13106333
14a045a
1579134
hex5e000

385024 has 28 divisors (see below), whose sum is σ = 786384. Its totient is φ = 188416.

The previous prime is 385013. The next prime is 385027. The reversal of 385024 is 420583.

It is a junction number, because it is equal to n+sod(n) for n = 384986 and 385004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8169 + ... + 8215.

385024 is a Friedman number, since it can be written as 8^4*(50-3)*2, using all its digits and the basic arithmetic operations.

2385024 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 385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393192).

385024 is an abundant number, since it is smaller than the sum of its proper divisors (401360).

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

385024 is an frugal number, since it uses more digits than its factorization.

385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 385024 is about 620.5030217493. The cubic root of 385024 is about 72.7493751004.

The spelling of 385024 in words is "three hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 3008 4096 6016 8192 12032 24064 48128 96256 192512 385024