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40242384 = 24327133783
BaseRepresentation
bin1001100110000…
…0110011010000
32210201112011200
42121200303100
540300224014
63554311200
7666024510
oct231406320
983645150
1040242384
1120796776
1211588500
13844cc80
1454b7840
1537eda09
hex2660cd0

40242384 has 240 divisors, whose sum is σ = 144074112. Its totient is φ = 10202112.

The previous prime is 40242337. The next prime is 40242403. The reversal of 40242384 is 48324204.

It is a happy number.

40242384 is a `hidden beast` number, since 40 + 242 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484807 + ... + 484889.

Almost surely, 240242384 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 40242384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72037056).

40242384 is an abundant number, since it is smaller than the sum of its proper divisors (103831728).

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

40242384 is a wasteful number, since it uses less digits than its factorization.

40242384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40242384 is about 6343.6885169434. The cubic root of 40242384 is about 342.6845834038.

Adding to 40242384 its reverse (48324204), we get a palindrome (88566588).

The spelling of 40242384 in words is "forty million, two hundred forty-two thousand, three hundred eighty-four".