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10338384 = 2437291061
BaseRepresentation
bin100111011100…
…000001010000
3201110020121010
4213130001100
510121312014
61005330520
7153606030
oct47340120
921406533
1010338384
115921421
123566a40
1321ac8b4
1415318c0
15d93359
hex9dc050

10338384 has 80 divisors (see below), whose sum is σ = 31605120. Its totient is φ = 2849280.

The previous prime is 10338373. The next prime is 10338401. The reversal of 10338384 is 48383301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9214 + ... + 10274.

It is an arithmetic number, because the mean of its divisors is an integer number (395064).

Almost surely, 210338384 is an apocalyptic number.

10338384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802560).

10338384 is an abundant number, since it is smaller than the sum of its proper divisors (21266736).

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

10338384 is a wasteful number, since it uses less digits than its factorization.

10338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 10338384 is about 3215.3357522971. The cubic root of 10338384 is about 217.8466502823.

The spelling of 10338384 in words is "ten million, three hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1061 1218 1392 1624 2122 2436 3183 3248 4244 4872 6366 7427 8488 9744 12732 14854 16976 22281 25464 29708 30769 44562 50928 59416 61538 89124 92307 118832 123076 178248 184614 215383 246152 356496 369228 430766 492304 646149 738456 861532 1292298 1476912 1723064 2584596 3446128 5169192 10338384