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10494384 = 2431937311
BaseRepresentation
bin101000000010…
…000110110000
3201202011120220
4220002012300
510141310014
61012533040
7155125605
oct50020660
921664526
1010494384
115a1864a
123621180
1322358c4
1415726ac
15dc46a9
hexa021b0

10494384 has 80 divisors (see below), whose sum is σ = 29402880. Its totient is φ = 3214080.

The previous prime is 10494377. The next prime is 10494397. The reversal of 10494384 is 48349401.

It is a happy number.

It is a super-2 number, since 2×104943842 = 220264191078912, which contains 22 as substring.

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 in 15 ways as a sum of consecutive naturals, for example, 33589 + ... + 33899.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 210494384 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 10494384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701440).

10494384 is an abundant number, since it is smaller than the sum of its proper divisors (18908496).

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

10494384 is a wasteful number, since it uses less digits than its factorization.

10494384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 10494384 is about 3239.5036656871. The cubic root of 10494384 is about 218.9369097471.

It can be divided in two parts, 10494 and 384, that added together give a triangular number (10878 = T147).

The spelling of 10494384 in words is "ten million, four hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 311 444 456 592 622 703 888 912 933 1244 1406 1776 1866 2109 2488 2812 3732 4218 4976 5624 5909 7464 8436 11248 11507 11818 14928 16872 17727 23014 23636 33744 34521 35454 46028 47272 69042 70908 92056 94544 138084 141816 184112 218633 276168 283632 437266 552336 655899 874532 1311798 1749064 2623596 3498128 5247192 10494384