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10034793 = 331931631
BaseRepresentation
bin100110010001…
…111001101001
3200212211011000
4212101321221
510032103133
6555025213
7151202646
oct46217151
920784130
1010034793
11573431a
12343b209
132104662
141492dcd
15d33413
hex991e69

10034793 has 32 divisors (see below), whose sum is σ = 16179200. Its totient is φ = 6123600.

The previous prime is 10034789. The next prime is 10034803. The reversal of 10034793 is 39743001.

10034793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10034793 - 22 = 10034789 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10034753) 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, 15588 + ... + 16218.

It is an arithmetic number, because the mean of its divisors is an integer number (505600).

Almost surely, 210034793 is an apocalyptic number.

It is an amenable number.

10034793 is a deficient number, since it is larger than the sum of its proper divisors (6144407).

10034793 is a wasteful number, since it uses less digits than its factorization.

10034793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10034793 is about 3167.7741396760. The cubic root of 10034793 is about 215.6930439318.

Adding to 10034793 its reverse (39743001), we get a palindrome (49777794).

The spelling of 10034793 in words is "ten million, thirty-four thousand, seven hundred ninety-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 631 837 1767 1893 5301 5679 11989 15903 17037 19561 35967 58683 107901 176049 323703 371659 528147 1114977 3344931 10034793