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10000340 = 2257611171
BaseRepresentation
bin100110001001…
…011111010100
3200211001212222
4212021133110
510030002330
6554201512
7151000340
oct46113724
920731788
1010000340
115710449
123423298
1320c1a7c
141484620
15d280e5
hex9897d4

10000340 has 48 divisors (see below), whose sum is σ = 24415104. Its totient is φ = 3369600.

The previous prime is 10000339. The next prime is 10000349. The reversal of 10000340 is 4300001.

10000340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 7955 + ... + 9125.

It is an arithmetic number, because the mean of its divisors is an integer number (508648).

Almost surely, 210000340 is an apocalyptic number.

10000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207552).

10000340 is an abundant number, since it is smaller than the sum of its proper divisors (14414764).

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

10000340 is a wasteful number, since it uses less digits than its factorization.

10000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10000340 is about 3162.3314184317. The cubic root of 10000340 is about 215.4459106682.

Adding to 10000340 its reverse (4300001), we get a palindrome (14300341).

The spelling of 10000340 in words is "ten million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1171 1220 1708 2135 2342 4270 4684 5855 8197 8540 11710 16394 23420 32788 40985 71431 81970 142862 163940 285724 357155 500017 714310 1000034 1428620 2000068 2500085 5000170 10000340