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242376 = 23310099
BaseRepresentation
bin111011001011001000
3110022110220
4323023020
530224001
65110040
72026431
oct731310
9408426
10242376
11156112
12b8320
1386424
1464488
154bc36
hex3b2c8

242376 has 16 divisors (see below), whose sum is σ = 606000. Its totient is φ = 80784.

The previous prime is 242371. The next prime is 242377. The reversal of 242376 is 673242.

242376 = T166 + T167 + ... + T181.

242376 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423762 = 117492250752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10099 = 242376 / (2 + 4 + 2 + 3 + 7 + 6).

It is a d-powerful number, because it can be written as 23 + 48 + 310 + 27 + 76 + 6 .

242376 is a modest number, since divided by 2376 gives 24 as remainder.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (242371) by changing a digit.

242376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5026 + ... + 5073.

It is an arithmetic number, because the mean of its divisors is an integer number (37875).

2242376 is an apocalyptic number.

It is an amenable number.

242376 is an abundant number, since it is smaller than the sum of its proper divisors (363624).

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

242376 is a wasteful number, since it uses less digits than its factorization.

242376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10104 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 242376 is about 492.3169710664. The cubic root of 242376 is about 62.3490544070.

The spelling of 242376 in words is "two hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 10099 20198 30297 40396 60594 80792 121188 242376