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289690338 = 23729415801
BaseRepresentation
bin10001010001000…
…101001011100010
3202012002210102210
4101101011023202
51043130042323
644425022550
710115220150
oct2121051342
9665083383
10289690338
11139582703
1281024a56
134802b302
142a68c3d0
151a674293
hex114452e2

289690338 has 64 divisors (see below), whose sum is σ = 701809920. Its totient is φ = 77952000.

The previous prime is 289690337. The next prime is 289690343. The reversal of 289690338 is 833096982.

It is not an unprimeable number, because it can be changed into a prime (289690337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47038 + ... + 52838.

It is an arithmetic number, because the mean of its divisors is an integer number (10965780).

Almost surely, 2289690338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289690338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350904960).

289690338 is an abundant number, since it is smaller than the sum of its proper divisors (412119582).

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

289690338 is a wasteful number, since it uses less digits than its factorization.

289690338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883.

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 289690338 is about 17020.2919481424. The cubic root of 289690338 is about 661.6749148520.

The spelling of 289690338 in words is "two hundred eighty-nine million, six hundred ninety thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 41 42 58 82 87 123 174 203 246 287 406 574 609 861 1189 1218 1722 2378 3567 5801 7134 8323 11602 16646 17403 24969 34806 40607 49938 81214 121821 168229 237841 243642 336458 475682 504687 713523 1009374 1177603 1427046 1664887 2355206 3329774 3532809 4994661 6897389 7065618 9989322 13794778 20692167 41384334 48281723 96563446 144845169 289690338