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368450064 = 243223532099
BaseRepresentation
bin10101111101100…
…001101000010000
3221200022012110200
4111331201220100
51223310400224
6100321055200
712062526303
oct2575415020
9850265420
10368450064
11179a86a94
12a3487500
135b445cb8
1436d10b3a
15225305c9
hex15f61a10

368450064 has 120 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 115205376.

The previous prime is 368450059. The next prime is 368450081. The reversal of 368450064 is 460054863.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 174487 + ... + 176585.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2368450064 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 368450064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

368450064 is an abundant number, since it is smaller than the sum of its proper divisors (728354736).

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

368450064 is a wasteful number, since it uses less digits than its factorization.

368450064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 368450064 is about 19195.0531127163. The cubic root of 368450064 is about 716.9015930256.

The spelling of 368450064 in words is "three hundred sixty-eight million, four hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 53 69 72 92 106 138 144 159 184 207 212 276 318 368 414 424 477 552 636 828 848 954 1104 1219 1272 1656 1908 2099 2438 2544 3312 3657 3816 4198 4876 6297 7314 7632 8396 9752 10971 12594 14628 16792 18891 19504 21942 25188 29256 33584 37782 43884 48277 50376 58512 75564 87768 96554 100752 111247 144831 151128 175536 193108 222494 289662 302256 333741 386216 434493 444988 579324 667482 772432 868986 889976 1001223 1158648 1334964 1737972 1779952 2002446 2317296 2558681 2669928 3475944 4004892 5117362 5339856 6951888 7676043 8009784 10234724 15352086 16019568 20469448 23028129 30704172 40938896 46056258 61408344 92112516 122816688 184225032 368450064