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1042384 = 24741227
BaseRepresentation
bin11111110011111010000
31221221212211
43332133100
5231324014
634201504
711601010
oct3763720
91857784
101042384
11652182
12423294
132a65c5
141d1c40
15158cc4
hexfe7d0

1042384 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 433920.

The previous prime is 1042381. The next prime is 1042399. The reversal of 1042384 is 4832401.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4479 + ... + 4705.

21042384 is an apocalyptic number.

1042384 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 1042384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

1042384 is an abundant number, since it is smaller than the sum of its proper divisors (1332464).

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

1042384 is a wasteful number, since it uses less digits than its factorization.

1042384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1042384 is about 1020.9720858084. The cubic root of 1042384 is about 101.3932970735.

Adding to 1042384 its reverse (4832401), we get a palindrome (5874785).

The spelling of 1042384 in words is "one million, forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 227 287 328 454 574 656 908 1148 1589 1816 2296 3178 3632 4592 6356 9307 12712 18614 25424 37228 65149 74456 130298 148912 260596 521192 1042384