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10034046 = 23211217271
BaseRepresentation
bin100110010001…
…101101111110
3200212210010100
4212101231332
510032042141
6555021530
7151200531
oct46215576
920783110
1010034046
115733800
12343a8a6
132104209
141492a18
15d330b6
hex991b7e

10034046 has 72 divisors (see below), whose sum is σ = 25395552. Its totient is φ = 2851200.

The previous prime is 10034041. The next prime is 10034083. The reversal of 10034046 is 64043001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034041) 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, 36891 + ... + 37161.

It is an arithmetic number, because the mean of its divisors is an integer number (352716).

Almost surely, 210034046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697776).

10034046 is an abundant number, since it is smaller than the sum of its proper divisors (15361506).

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

10034046 is a wasteful number, since it uses less digits than its factorization.

10034046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10034046 is about 3167.6562313483. The cubic root of 10034046 is about 215.6876916639.

Adding to 10034046 its reverse (64043001), we get a palindrome (74077047).

The spelling of 10034046 in words is "ten million, thirty-four thousand, forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 271 306 363 374 542 561 726 813 1089 1122 1626 1683 2057 2178 2439 2981 3366 4114 4607 4878 5962 6171 8943 9214 12342 13821 17886 18513 26829 27642 32791 37026 41463 50677 53658 65582 82926 98373 101354 152031 196746 295119 304062 456093 557447 590238 912186 1114894 1672341 3344682 5017023 10034046