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10338304 = 214631
BaseRepresentation
bin100111011100…
…000000000000
3201110020111011
4213130000000
510121311204
61005330304
7153605554
oct47340000
921406434
1010338304
115921359
123566994
1321ac852
141531864
15d93304
hex9dc000

10338304 has 30 divisors (see below), whose sum is σ = 20708744. Its totient is φ = 5160960.

The previous prime is 10338287. The next prime is 10338313. The reversal of 10338304 is 40383301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16069 + ... + 16699.

Almost surely, 210338304 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 10338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354372).

10338304 is an abundant number, since it is smaller than the sum of its proper divisors (10370440).

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

10338304 is an frugal number, since it uses more digits than its factorization.

10338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10338304 is about 3215.3233118926. The cubic root of 10338304 is about 217.8460883706.

The spelling of 10338304 in words is "ten million, three hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 631 1024 1262 2048 2524 4096 5048 8192 10096 16384 20192 40384 80768 161536 323072 646144 1292288 2584576 5169152 10338304