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289931312 = 24111799203
BaseRepresentation
bin10001010010000…
…000000000110000
3202012120000222202
4101102000000300
51043210300222
644434122332
710120242536
oct2122000060
9665500882
10289931312
11139727760
12811203a8
13480b3bb8
142a712156
151a6c0892
hex11480030

289931312 has 40 divisors (see below), whose sum is σ = 616299840. Its totient is φ = 131036480.

The previous prime is 289931309. The next prime is 289931321. The reversal of 289931312 is 213139982.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26903 + ... + 36105.

It is an arithmetic number, because the mean of its divisors is an integer number (15407496).

Almost surely, 2289931312 is an apocalyptic number.

289931312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289931312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308149920).

289931312 is an abundant number, since it is smaller than the sum of its proper divisors (326368528).

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

289931312 is a wasteful number, since it uses less digits than its factorization.

289931312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9395 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 289931312 is about 17027.3694973710. The cubic root of 289931312 is about 661.8583316935.

The spelling of 289931312 in words is "two hundred eighty-nine million, nine hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 716 1432 1969 2864 3938 7876 9203 15752 18406 31504 36812 73624 101233 147248 202466 404932 809864 1619728 1647337 3294674 6589348 13178696 18120707 26357392 36241414 72482828 144965656 289931312