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42336384 = 273110251
BaseRepresentation
bin1010000110000…
…0000010000000
32221122220121020
42201200002000
541314231014
64111225440
71022565456
oct241400200
987586536
1042336384
1121996a52
1212218280
138a0411c
1458a09d6
153ab41a9
hex2860080

42336384 has 32 divisors (see below), whose sum is σ = 112457040. Its totient is φ = 14112000.

The previous prime is 42336383. The next prime is 42336397. The reversal of 42336384 is 48363324.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42336383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54742 + ... + 55509.

Almost surely, 242336384 is an apocalyptic number.

It is an amenable number.

42336384 is an abundant number, since it is smaller than the sum of its proper divisors (70120656).

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

42336384 is a wasteful number, since it uses less digits than its factorization.

42336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110268 (or 110256 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 42336384 is about 6506.6415300061. The cubic root of 42336384 is about 348.5281977586.

It can be divided in two parts, 42336 and 384, that multiplied together give a square (16257024 = 40322).

The spelling of 42336384 in words is "forty-two million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 110251 220502 330753 441004 661506 882008 1323012 1764016 2646024 3528032 5292048 7056064 10584096 14112128 21168192 42336384