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298429768 = 23713795189
BaseRepresentation
bin10001110010011…
…010110101001000
3202210112210200101
4101302122311020
51102344223033
645340215144
710252416430
oct2162326510
9683483611
10298429768
1114350177a
1283b3a4b4
1349a9b180
142b8c52c0
151b2ed97d
hex11c9ad48

298429768 has 64 divisors (see below), whose sum is σ = 697536000. Its totient is φ = 116543232.

The previous prime is 298429763. The next prime is 298429799. The reversal of 298429768 is 867924892.

298429768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (298429763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54918 + ... + 60106.

It is an arithmetic number, because the mean of its divisors is an integer number (10899000).

Almost surely, 2298429768 is an apocalyptic number.

298429768 is a gapful number since it is divisible by the number (28) 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 298429768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348768000).

298429768 is an abundant number, since it is smaller than the sum of its proper divisors (399106232).

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

298429768 is a wasteful number, since it uses less digits than its factorization.

298429768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5290 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The square root of 298429768 is about 17275.1199127531. The cubic root of 298429768 is about 668.2629452359.

The spelling of 298429768 in words is "two hundred ninety-eight million, four hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 79 91 104 158 182 316 364 553 632 728 1027 1106 2054 2212 4108 4424 5189 7189 8216 10378 14378 20756 28756 36323 41512 57512 67457 72646 134914 145292 269828 290584 409931 472199 539656 819862 944398 1639724 1888796 2869517 3279448 3777592 5329103 5739034 10658206 11478068 21316412 22956136 37303721 42632824 74607442 149214884 298429768