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242314110 = 23253772767
BaseRepresentation
bin11100111000101…
…10101101111110
3121212221211110200
432130112231332
5444013022420
640013344330
76001431063
oct1634265576
9555854420
10242314110
111148641a5
12691980a6
133b28123c
1424278c6a
1516416b90
hexe716b7e

242314110 has 48 divisors (see below), whose sum is σ = 647053056. Its totient is φ = 62869824.

The previous prime is 242314109. The next prime is 242314117. The reversal of 242314110 is 11413242.

242314110 is a `hidden beast` number, since 24 + 231 + 411 + 0 = 666.

It is a super-2 number, since 2×2423141102 = 117432255810184200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33054 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (13480272).

Almost surely, 2242314110 is an apocalyptic number.

242314110 is an abundant number, since it is smaller than the sum of its proper divisors (404738946).

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

242314110 is a wasteful number, since it uses less digits than its factorization.

242314110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72817 (or 72814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242314110 is about 15566.4417899532. The cubic root of 242314110 is about 623.4374707257.

Adding to 242314110 its reverse (11413242), we get a palindrome (253727352).

The spelling of 242314110 in words is "two hundred forty-two million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 72767 145534 218301 363835 436602 654903 727670 1091505 1309806 2183010 2692379 3274515 5384758 6549030 8077137 13461895 16154274 24231411 26923790 40385685 48462822 80771370 121157055 242314110