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2353000349 = 72353313881
BaseRepresentation
bin1000110000111111…
…1110111110011101
320001222120210200002
42030033332332131
514304332002344
61025252544045
7112211113220
oct21417767635
96058523602
102353000349
11aa8230a97
12558022025
132b66410cb
141847075b7
15db89044e
hex8c3fef9d

2353000349 has 32 divisors (see below), whose sum is σ = 2871396864. Its totient is φ = 1884579840.

The previous prime is 2353000343. The next prime is 2353000369. The reversal of 2353000349 is 9430003532.

It is a cyclic number.

It is not a de Polignac number, because 2353000349 - 28 = 2353000093 is a prime.

It is a super-2 number, since 2×23530003492 = 11073221284788243602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353000343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2670389 + ... + 2671269.

It is an arithmetic number, because the mean of its divisors is an integer number (89731152).

Almost surely, 22353000349 is an apocalyptic number.

It is an amenable number.

2353000349 is a deficient number, since it is larger than the sum of its proper divisors (518396515).

2353000349 is a wasteful number, since it uses less digits than its factorization.

2353000349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 2353000349 is about 48507.7349399042. The cubic root of 2353000349 is about 1330.0684663343.

The spelling of 2353000349 in words is "two billion, three hundred fifty-three million, three hundred forty-nine", and thus it is an aban number.

Divisors: 1 7 23 53 161 313 371 881 1219 2191 6167 7199 8533 16589 20263 46693 50393 116123 141841 275753 326851 381547 1073939 1930271 2670829 6342319 7517573 14614909 44396233 102304363 336142907 2353000349