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385280 = 285743
BaseRepresentation
bin1011110000100000000
3201120111122
41132010000
544312110
612131412
73163160
oct1360400
9646448
10385280
11243515
12166b68
1310649c
14a05a0
1579255
hex5e100

385280 has 72 divisors (see below), whose sum is σ = 1079232. Its totient is φ = 129024.

The previous prime is 385279. The next prime is 385289. The reversal of 385280 is 82583.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385280.

It is not an unprimeable number, because it can be changed into a prime (385289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8939 + ... + 8981.

2385280 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 385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539616).

385280 is an abundant number, since it is smaller than the sum of its proper divisors (693952).

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

385280 is an equidigital number, since it uses as much as digits as its factorization.

385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 385280 is about 620.7092717207. The cubic root of 385280 is about 72.7654950600.

The spelling of 385280 in words is "three hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 430 448 560 602 640 688 860 896 1120 1204 1280 1376 1505 1720 1792 2240 2408 2752 3010 3440 4480 4816 5504 6020 6880 8960 9632 11008 12040 13760 19264 24080 27520 38528 48160 55040 77056 96320 192640 385280