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299828664 = 233219613593
BaseRepresentation
bin10001110111110…
…000010110111000
3202220011212121100
4101313300112320
51103224004124
645430211400
710300334022
oct2167602670
9686155540
10299828664
11144277793
12844b3b60
134a16ab15
142bb6b012
151b4c81c9
hex11df05b8

299828664 has 96 divisors (see below), whose sum is σ = 869029200. Its totient is φ = 93104640.

The previous prime is 299828657. The next prime is 299828671. The reversal of 299828664 is 466828992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (299828657) and next prime (299828671).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 299828664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81652 + ... + 85244.

Almost surely, 2299828664 is an apocalyptic number.

299828664 is a gapful number since it is divisible by the number (24) 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 299828664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434514600).

299828664 is an abundant number, since it is smaller than the sum of its proper divisors (569200536).

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

299828664 is a wasteful number, since it uses less digits than its factorization.

299828664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3678 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 299828664 is about 17315.5613250047. The cubic root of 299828664 is about 669.3054836307.

The spelling of 299828664 in words is "two hundred ninety-nine million, eight hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 61 72 76 114 122 152 171 183 228 244 342 366 456 488 549 684 732 1098 1159 1368 1464 2196 2318 3477 3593 4392 4636 6954 7186 9272 10431 10779 13908 14372 20862 21558 27816 28744 32337 41724 43116 64674 68267 83448 86232 129348 136534 204801 219173 258696 273068 409602 438346 546136 614403 657519 819204 876692 1228806 1315038 1638408 1753384 1972557 2457612 2630076 3945114 4164287 4915224 5260152 7890228 8328574 12492861 15780456 16657148 24985722 33314296 37478583 49971444 74957166 99942888 149914332 299828664