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299057376 = 2535321109
BaseRepresentation
bin10001110100110…
…100000011100000
3202211201200121010
4101310310003200
51103024314001
645401500520
710260642252
oct2164640340
9684650533
10299057376
111438a0262
12841a1740
1349c5aa37
142ba09cd2
151b3c48d6
hex11d340e0

299057376 has 72 divisors (see below), whose sum is σ = 800838360. Its totient is φ = 97716736.

The previous prime is 299057333. The next prime is 299057393. The reversal of 299057376 is 673750992.

299057376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 269110 + ... + 270218.

It is an arithmetic number, because the mean of its divisors is an integer number (11122755).

Almost surely, 2299057376 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 299057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400419180).

299057376 is an abundant number, since it is smaller than the sum of its proper divisors (501780984).

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

299057376 is a wasteful number, since it uses less digits than its factorization.

299057376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 299057376 is about 17293.2754560841. The cubic root of 299057376 is about 668.7310771599.

The spelling of 299057376 in words is "two hundred ninety-nine million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1109 1272 1696 2218 2544 2809 3327 4436 5088 5618 6654 8427 8872 11236 13308 16854 17744 22472 26616 33708 35488 44944 53232 58777 67416 89888 106464 117554 134832 176331 235108 269664 352662 470216 705324 940432 1410648 1880864 2821296 3115181 5642592 6230362 9345543 12460724 18691086 24921448 37382172 49842896 74764344 99685792 149528688 299057376