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299923668 = 223311259389
BaseRepresentation
bin10001111000000…
…111100011010100
3202220100200221000
4101320013203110
51103240024133
645432223300
710301211012
oct2170074324
9686320830
10299923668
11144332100
128453ab30
134a1a2135
142bb938b2
151b4e6413
hex11e078d4

299923668 has 144 divisors (see below), whose sum is σ = 871416000. Its totient is φ = 89115840.

The previous prime is 299923649. The next prime is 299923693. The reversal of 299923668 is 866329992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 770818 + ... + 771206.

It is an arithmetic number, because the mean of its divisors is an integer number (6051500).

Almost surely, 2299923668 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 299923668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708000).

299923668 is an abundant number, since it is smaller than the sum of its proper divisors (571492332).

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

299923668 is a wasteful number, since it uses less digits than its factorization.

299923668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 299923668 is about 17318.3044204680. The cubic root of 299923668 is about 669.3761684261.

The spelling of 299923668 in words is "two hundred ninety-nine million, nine hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 121 132 177 198 236 242 297 354 363 389 396 484 531 594 649 708 726 778 1062 1089 1167 1188 1298 1452 1556 1593 1947 2124 2178 2334 2596 3186 3267 3501 3894 4279 4356 4668 5841 6372 6534 7002 7139 7788 8558 10503 11682 12837 13068 14004 14278 17116 17523 21006 21417 22951 23364 25674 28556 35046 38511 42012 42834 45902 47069 51348 64251 68853 70092 77022 85668 91804 94138 115533 128502 137706 141207 154044 188276 192753 206559 231066 252461 257004 275412 282414 385506 413118 423621 462132 504922 564828 619677 757383 771012 826236 847242 1009844 1239354 1270863 1514766 1694484 2272149 2478708 2541726 2777071 3029532 4544298 5083452 5554142 6816447 8331213 9088596 11108284 13632894 16662426 24993639 27265788 33324852 49987278 74980917 99974556 149961834 299923668