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239289344 = 2107219251
BaseRepresentation
bin11100100001101…
…00010000000000
3121200021011021022
432100310100000
5442224224334
635424445012
75633632400
oct1620642000
9550234238
10239289344
11113088698
1268179768
133a762538
1423acc800
151601a82e
hexe434400

239289344 has 132 divisors (see below), whose sum is σ = 588062160. Its totient is φ = 96768000.

The previous prime is 239289319. The next prime is 239289371. The reversal of 239289344 is 443982932.

239289344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 239289295 and 239289304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953219 + ... + 953469.

Almost surely, 2239289344 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 239289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294031080).

239289344 is an abundant number, since it is smaller than the sum of its proper divisors (348772816).

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

239289344 is a wasteful number, since it uses less digits than its factorization.

239289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 239289344 is about 15468.9800568751. The cubic root of 239289344 is about 620.8325132651.

The spelling of 239289344 in words is "two hundred thirty-nine million, two hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 251 256 266 304 392 448 502 512 532 608 784 896 931 1004 1024 1064 1216 1568 1757 1792 1862 2008 2128 2432 3136 3514 3584 3724 4016 4256 4769 4864 6272 7028 7168 7448 8032 8512 9538 9728 12299 12544 14056 14896 16064 17024 19076 19456 24598 25088 28112 29792 32128 33383 34048 38152 49196 50176 56224 59584 64256 66766 68096 76304 98392 112448 119168 128512 133532 136192 152608 196784 224896 233681 238336 257024 267064 305216 393568 449792 467362 476672 534128 610432 787136 899584 934724 953344 1068256 1220864 1574272 1799168 1869448 2136512 2441728 3148544 3738896 4273024 4883456 6297088 7477792 8546048 12594176 14955584 17092096 29911168 34184192 59822336 119644672 239289344