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10349361 = 3211107977
BaseRepresentation
bin100111011110…
…101100110001
3201110210122200
4213132230301
510122134421
61005453413
7153653031
oct47365461
921423580
1010349361
1159296a0
123571269
1321b48a9
1415358c1
15d96726
hex9deb31

10349361 has 24 divisors (see below), whose sum is σ = 16477344. Its totient is φ = 6207360.

The previous prime is 10349351. The next prime is 10349371. The reversal of 10349361 is 16394301.

10349361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10349351) and next prime (10349371).

It is not a de Polignac number, because 10349361 - 25 = 10349329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10349341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10105 + ... + 11081.

It is an arithmetic number, because the mean of its divisors is an integer number (686556).

Almost surely, 210349361 is an apocalyptic number.

10349361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10349361 is a deficient number, since it is larger than the sum of its proper divisors (6127983).

10349361 is a wasteful number, since it uses less digits than its factorization.

10349361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10349361 is about 3217.0422751341. The cubic root of 10349361 is about 217.9237241216.

The spelling of 10349361 in words is "ten million, three hundred forty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 107 321 963 977 1177 2931 3531 8793 10593 10747 32241 96723 104539 313617 940851 1149929 3449787 10349361