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10034073 = 327261373
BaseRepresentation
bin100110010001…
…101110011001
3200212210011100
4212101232121
510032042243
6555022013
7151200600
oct46215631
920783140
1010034073
115733825
12343a909
13210422a
141492a37
15d330d3
hex991b99

10034073 has 36 divisors (see below), whose sum is σ = 17182308. Its totient is φ = 5624640.

The previous prime is 10034041. The next prime is 10034083. The reversal of 10034073 is 37043001.

10034073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10034073 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 2350089 + 7683984 = 1533^2 + 2772^2 .

It is not a de Polignac number, because 10034073 - 25 = 10034041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10034023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26715 + ... + 27087.

Almost surely, 210034073 is an apocalyptic number.

It is an amenable number.

10034073 is a deficient number, since it is larger than the sum of its proper divisors (7148235).

10034073 is a wasteful number, since it uses less digits than its factorization.

10034073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10034073 is about 3167.6604931716. The cubic root of 10034073 is about 215.6878851240.

Adding to 10034073 its reverse (37043001), we get a palindrome (47077074).

The spelling of 10034073 in words is "ten million, thirty-four thousand, seventy-three".

Divisors: 1 3 7 9 21 49 61 63 147 183 373 427 441 549 1119 1281 2611 2989 3357 3843 7833 8967 18277 22753 23499 26901 54831 68259 159271 164493 204777 477813 1114897 1433439 3344691 10034073