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102441344 = 272113793
BaseRepresentation
bin1100001101100…
…10000110000000
321010202120002212
412012302012000
5202211110334
614055401252
72352510545
oct606620600
9233676085
10102441344
1152909775
122a383228
13182b9aa5
14d868bcc
158ed7ece
hex61b2180

102441344 has 32 divisors (see below), whose sum is σ = 205103640. Its totient is φ = 50964480.

The previous prime is 102441323. The next prime is 102441347. The reversal of 102441344 is 443144201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102441347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25112 + ... + 28904.

Almost surely, 2102441344 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 102441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102551820).

102441344 is an abundant number, since it is smaller than the sum of its proper divisors (102662296).

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

102441344 is an equidigital number, since it uses as much as digits as its factorization.

102441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 102441344 is about 10121.3311377506. The cubic root of 102441344 is about 467.9057934907.

Adding to 102441344 its reverse (443144201), we get a palindrome (545585545).

The spelling of 102441344 in words is "one hundred two million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 1688 3376 3793 6752 7586 13504 15172 27008 30344 60688 121376 242752 485504 800323 1600646 3201292 6402584 12805168 25610336 51220672 102441344