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100340 = 22529173
BaseRepresentation
bin11000011111110100
312002122022
4120133310
511202330
62052312
7565352
oct303764
9162568
10100340
1169429
124a098
1336896
14287d2
151eae5
hex187f4

100340 has 24 divisors (see below), whose sum is σ = 219240. Its totient is φ = 38528.

The previous prime is 100333. The next prime is 100343. The reversal of 100340 is 43001.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 70756 = 172^2 + 266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100343) 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, 494 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (9135).

2100340 is an apocalyptic number.

100340 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 100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620).

100340 is an abundant number, since it is smaller than the sum of its proper divisors (118900).

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

100340 is a wasteful number, since it uses less digits than its factorization.

100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

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

The square root of 100340 is about 316.7648970451. The cubic root of 100340 is about 46.4684335033.

Adding to 100340 its reverse (43001), we get a palindrome (143341).

The spelling of 100340 in words is "one hundred thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 692 865 1730 3460 5017 10034 20068 25085 50170 100340