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100344 = 23337113
BaseRepresentation
bin11000011111111000
312002122110
4120133320
511202334
62052320
7565356
oct303770
9162573
10100344
1169432
124a0a0
133689a
14287d6
151eae9
hex187f8

100344 has 32 divisors (see below), whose sum is σ = 259920. Its totient is φ = 32256.

The previous prime is 100343. The next prime is 100357. The reversal of 100344 is 443001.

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

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100344.

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, 832 + ... + 944.

2100344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960).

100344 is an abundant number, since it is smaller than the sum of its proper divisors (159576).

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

100344 is a wasteful number, since it uses less digits than its factorization.

100344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

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

The square root of 100344 is about 316.7712108131. The cubic root of 100344 is about 46.4690509748.

Adding to 100344 its reverse (443001), we get a palindrome (543345).

It can be divided in two parts, 100 and 344, that added together give a palindrome (444).

The spelling of 100344 in words is "one hundred thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 452 678 888 904 1356 2712 4181 8362 12543 16724 25086 33448 50172 100344