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2353074304 = 27719672063
BaseRepresentation
bin1000110001000001…
…0001000010000000
320001222201120010011
42030100101002000
514304341334204
61025254314304
7112211541640
oct21420210200
96058646104
102353074304
11aa8281609
12558058994
132b6668979
14184726520
15db8a7304
hex8c411080

2353074304 has 128 divisors (see below), whose sum is σ = 5726361600. Its totient is φ = 940667904.

The previous prime is 2353074299. The next prime is 2353074331. The reversal of 2353074304 is 4034703532.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139577 + ... + 1141639.

It is an arithmetic number, because the mean of its divisors is an integer number (44737200).

Almost surely, 22353074304 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 2353074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863180800).

2353074304 is an abundant number, since it is smaller than the sum of its proper divisors (3373287296).

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

2353074304 is a wasteful number, since it uses less digits than its factorization.

2353074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 31.

The square root of 2353074304 is about 48508.4972350206. The cubic root of 2353074304 is about 1330.0824009097.

Adding to 2353074304 its reverse (4034703532), we get a palindrome (6387777836).

The spelling of 2353074304 in words is "two billion, three hundred fifty-three million, seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 67 76 112 128 133 134 152 224 266 268 304 448 469 532 536 608 896 938 1064 1072 1216 1273 1876 2063 2128 2144 2432 2546 3752 4126 4256 4288 5092 7504 8252 8512 8576 8911 10184 14441 15008 16504 17024 17822 20368 28882 30016 33008 35644 39197 40736 57764 60032 66016 71288 78394 81472 115528 132032 138221 142576 156788 162944 231056 264064 274379 276442 285152 313576 462112 548758 552884 570304 627152 924224 967547 1097516 1105768 1140608 1254304 1848448 1935094 2195032 2211536 2508608 2626199 3870188 4390064 4423072 5017216 5252398 7740376 8780128 8846144 10504796 15480752 17560256 17692288 18383393 21009592 30961504 35120512 36766786 42019184 61923008 73533572 84038368 123846016 147067144 168076736 294134288 336153472 588268576 1176537152 2353074304