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4107344 = 241959229
BaseRepresentation
bin1111101010110001010000
321201200012212
433222301100
52022413334
6224011252
746624523
oct17526120
97650185
104107344
1123559aa
121460b28
13b0a6a7
1478cbba
15561ece
hex3eac50

4107344 has 40 divisors (see below), whose sum is σ = 8556000. Its totient is φ = 1904256.

The previous prime is 4107329. The next prime is 4107347. The reversal of 4107344 is 4437014.

4107344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17822 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (213900).

Almost surely, 24107344 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 4107344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278000).

4107344 is an abundant number, since it is smaller than the sum of its proper divisors (4448656).

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

4107344 is a wasteful number, since it uses less digits than its factorization.

4107344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4107344 is about 2026.6583333162. The cubic root of 4107344 is about 160.1475721818.

The spelling of 4107344 in words is "four million, one hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 229 236 304 458 472 916 944 1121 1832 2242 3664 4351 4484 8702 8968 13511 17404 17936 27022 34808 54044 69616 108088 216176 256709 513418 1026836 2053672 4107344