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342784288 = 25711212647
BaseRepresentation
bin10100011011100…
…111100100100000
3212220000020122101
4110123213210200
51200223044123
654003020144
711331422050
oct2433474440
9786006571
10342784288
11166546a00
129696a654
135602aa52
143374d560
1520160aad
hex146e7920

342784288 has 72 divisors (see below), whose sum is σ = 847820736. Its totient is φ = 133541760.

The previous prime is 342784259. The next prime is 342784307. The reversal of 342784288 is 882487243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20781 + ... + 33427.

It is an arithmetic number, because the mean of its divisors is an integer number (11775288).

Almost surely, 2342784288 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 342784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423910368).

342784288 is an abundant number, since it is smaller than the sum of its proper divisors (505036448).

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

342784288 is a wasteful number, since it uses less digits than its factorization.

342784288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 12667 counting only the distinct ones).

The product of its digits is 688128, while the sum is 46.

The square root of 342784288 is about 18514.4345849394. The cubic root of 342784288 is about 699.8532263700.

The spelling of 342784288 in words is "three hundred forty-two million, seven hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 12647 13552 25294 27104 50588 88529 101176 139117 177058 202352 278234 354116 404704 556468 708232 973819 1112936 1416464 1530287 1947638 2225872 2832928 3060574 3895276 4451744 6121148 7790552 10712009 12242296 15581104 21424018 24484592 31162208 42848036 48969184 85696072 171392144 342784288