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269369344 = 21441401
BaseRepresentation
bin10000000011100…
…100000000000000
3200202212101021101
4100003210000000
51022424304334
642421304144
76450413236
oct2003440000
9622771241
10269369344
111290631a2
1276265054
1343a64a5a
1427abc956
15189ad214
hex100e4000

269369344 has 60 divisors (see below), whose sum is σ = 553238028. Its totient is φ = 131072000.

The previous prime is 269369311. The next prime is 269369357. The reversal of 269369344 is 443963962.

269369344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 118374400 = 12288^2 + 10880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 269369294 and 269369303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671544 + ... + 671944.

Almost surely, 2269369344 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 269369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276619014).

269369344 is an abundant number, since it is smaller than the sum of its proper divisors (283868684).

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

269369344 is an frugal number, since it uses more digits than its factorization.

269369344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its digits is 839808, while the sum is 46.

The square root of 269369344 is about 16412.4752551222. The cubic root of 269369344 is about 645.8267898202.

The spelling of 269369344 in words is "two hundred sixty-nine million, three hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 401 512 656 802 1024 1312 1604 2048 2624 3208 4096 5248 6416 8192 10496 12832 16384 16441 20992 25664 32882 41984 51328 65764 83968 102656 131528 167936 205312 263056 335872 410624 526112 671744 821248 1052224 1642496 2104448 3284992 4208896 6569984 8417792 16835584 33671168 67342336 134684672 269369344