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10348640 = 25564679
BaseRepresentation
bin100111011110…
…100001100000
3201110202122222
4213132201200
510122124030
61005450212
7153650651
oct47364140
921422588
1010348640
1159290a5
123570968
1321b4473
141535528
15d963e5
hex9de860

10348640 has 24 divisors (see below), whose sum is σ = 24449040. Its totient is φ = 4139392.

The previous prime is 10348603. The next prime is 10348649. The reversal of 10348640 is 4684301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10348649) 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 3 ways as a sum of consecutive naturals, for example, 32180 + ... + 32499.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 210348640 is an apocalyptic number.

10348640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10348640 is an abundant number, since it is smaller than the sum of its proper divisors (14100400).

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

10348640 is an equidigital number, since it uses as much as digits as its factorization.

10348640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64694 (or 64686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 10348640 is about 3216.9302137286. The cubic root of 10348640 is about 217.9186633694.

The spelling of 10348640 in words is "ten million, three hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 64679 129358 258716 323395 517432 646790 1034864 1293580 2069728 2587160 5174320 10348640