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363142242 = 23220174569
BaseRepresentation
bin10101101001010…
…001110001100010
3221022022112111200
4111221101301202
51220431022432
6100011222030
711666441511
oct2551216142
9838275450
10363142242
11176a91161
12a1747916
135a308088
143632c678
1521d32a7c
hex15a51c62

363142242 has 12 divisors (see below), whose sum is σ = 786808230. Its totient is φ = 121047408.

The previous prime is 363142237. The next prime is 363142243. The reversal of 363142242 is 242241363.

363142242 is a `hidden beast` number, since 3 + 631 + 4 + 2 + 24 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 275925321 + 87216921 = 16611^2 + 9339^2 .

It is not an unprimeable number, because it can be changed into a prime (363142243) 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 5 ways as a sum of consecutive naturals, for example, 10087267 + ... + 10087302.

Almost surely, 2363142242 is an apocalyptic number.

363142242 is an abundant number, since it is smaller than the sum of its proper divisors (423665988).

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

363142242 is a wasteful number, since it uses less digits than its factorization.

363142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174577 (or 20174574 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 363142242 is about 19056.2914020541. The cubic root of 363142242 is about 713.4424124010.

The spelling of 363142242 in words is "three hundred sixty-three million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 20174569 40349138 60523707 121047414 181571121 363142242