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385088 = 2611547
BaseRepresentation
bin1011110000001000000
3201120020112
41132001000
544310323
612130452
73162464
oct1360100
9646215
10385088
11243360
12166a28
13106382
14a04a4
1579178
hex5e040

385088 has 28 divisors (see below), whose sum is σ = 835152. Its totient is φ = 174720.

The previous prime is 385087. The next prime is 385109. The reversal of 385088 is 880583.

It is a happy number.

385088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (385081) 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, 431 + ... + 977.

2385088 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 385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417576).

385088 is an abundant number, since it is smaller than the sum of its proper divisors (450064).

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

385088 is a wasteful number, since it uses less digits than its factorization.

385088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 385088 is about 620.5545906687. The cubic root of 385088 is about 72.7534057600.

The spelling of 385088 in words is "three hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 547 704 1094 2188 4376 6017 8752 12034 17504 24068 35008 48136 96272 192544 385088