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3088384 = 2131329
BaseRepresentation
bin1011110010000000000000
312210220110121
423302000000
51242312014
6150110024
735152015
oct13620000
95726417
103088384
11181a392
12104b314
13841960
145a570c
15410124
hex2f2000

3088384 has 56 divisors (see below), whose sum is σ = 6880860. Its totient is φ = 1376256.

The previous prime is 3088381. The next prime is 3088387. The reversal of 3088384 is 4838803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3088381) and next prime (3088387).

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 102400 = 1728^2 + 320^2 .

It is not an unprimeable number, because it can be changed into a prime (3088381) 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, 106482 + ... + 106510.

Almost surely, 23088384 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 3088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440430).

3088384 is an abundant number, since it is smaller than the sum of its proper divisors (3792476).

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

3088384 is an equidigital number, since it uses as much as digits as its factorization.

3088384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3088384 is about 1757.3798678715. The cubic root of 3088384 is about 145.6276242719.

The spelling of 3088384 in words is "three million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1024 1508 1664 1856 2048 3016 3328 3712 4096 6032 6656 7424 8192 12064 13312 14848 24128 26624 29696 48256 53248 59392 96512 106496 118784 193024 237568 386048 772096 1544192 3088384