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10004344 = 237227787
BaseRepresentation
bin100110001010…
…011101111000
3200211021101021
4212022131320
510030114334
6554232224
7151015120
oct46123570
920737337
1010004344
115713459
123425674
1320c383c
141485c80
15d293b4
hex98a778

10004344 has 32 divisors (see below), whose sum is σ = 21559680. Its totient is φ = 4263264.

The previous prime is 10004341. The next prime is 10004377. The reversal of 10004344 is 44340001.

10004344 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10004344 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004341) 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, 12319 + ... + 13105.

It is an arithmetic number, because the mean of its divisors is an integer number (673740).

Almost surely, 210004344 is an apocalyptic number.

10004344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10004344 is an abundant number, since it is smaller than the sum of its proper divisors (11555336).

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

10004344 is a wasteful number, since it uses less digits than its factorization.

10004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10004344 is about 3162.9644323008. The cubic root of 10004344 is about 215.4746607014.

Adding to 10004344 its reverse (44340001), we get a palindrome (54344345).

It can be divided in two parts, 10004 and 344, that multiplied together give a triangular number (3441376 = T2623).

The spelling of 10004344 in words is "ten million, four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 227 454 787 908 1574 1589 1816 3148 3178 5509 6296 6356 11018 12712 22036 44072 178649 357298 714596 1250543 1429192 2501086 5002172 10004344