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10000344 = 2332691549
BaseRepresentation
bin100110001001…
…011111011000
3200211001220010
4212021133120
510030002334
6554201520
7151000344
oct46113730
920731803
1010000344
115710452
1234232a0
1320c1a83
141484624
15d280e9
hex9897d8

10000344 has 32 divisors (see below), whose sum is σ = 25110000. Its totient is φ = 3318912.

The previous prime is 10000339. The next prime is 10000349. The reversal of 10000344 is 44300001.

10000344 is digitally balanced in base 2, 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 (10000339) and next prime (10000349).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5682 + ... + 7230.

Almost surely, 210000344 is an apocalyptic number.

It is an amenable number.

10000344 is an abundant number, since it is smaller than the sum of its proper divisors (15109656).

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

10000344 is a wasteful number, since it uses less digits than its factorization.

10000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10000344 is about 3162.3320508764. The cubic root of 10000344 is about 215.4459393933.

Adding to 10000344 its reverse (44300001), we get a palindrome (54300345).

The spelling of 10000344 in words is "ten million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 269 538 807 1076 1549 1614 2152 3098 3228 4647 6196 6456 9294 12392 18588 37176 416681 833362 1250043 1666724 2500086 3333448 5000172 10000344