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10348048 = 24312673
BaseRepresentation
bin100111011110…
…011000010000
3201110201212001
4213132120100
510122114143
61005443344
7153646144
oct47363020
921421761
1010348048
115928707
123570554
1321b4109
141535224
15d9614d
hex9de610

10348048 has 30 divisors (see below), whose sum is σ = 20747742. Its totient is φ = 4999680.

The previous prime is 10348007. The next prime is 10348061. The reversal of 10348048 is 84084301.

It can be written as a sum of positive squares in only one way, i.e., 8133904 + 2214144 = 2852^2 + 1488^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15040 + ... + 15712.

Almost surely, 210348048 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 10348048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373871).

10348048 is an abundant number, since it is smaller than the sum of its proper divisors (10399694).

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

10348048 is an equidigital number, since it uses as much as digits as its factorization.

10348048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 10348048 is about 3216.8381992261. The cubic root of 10348048 is about 217.9145079020.

The spelling of 10348048 in words is "ten million, three hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 673 961 1346 1922 2692 3844 5384 7688 10768 15376 20863 41726 83452 166904 333808 646753 1293506 2587012 5174024 10348048