Search a number
-
+
242314104 = 23331325691
BaseRepresentation
bin11100111000101…
…10101101111000
3121212221211110110
432130112231320
5444013022404
640013344320
76001431054
oct1634265570
9555854413
10242314104
1111486419a
12691980a0
133b281236
1424278c64
1516416b89
hexe716b78

242314104 has 32 divisors (see below), whose sum is σ = 625328640. Its totient is φ = 78165600.

The previous prime is 242314103. The next prime is 242314109. The reversal of 242314104 is 401413242.

It is a super-2 number, since 2×2423141042 = 117432249994645632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162102 + ... + 163589.

It is an arithmetic number, because the mean of its divisors is an integer number (19541520).

Almost surely, 2242314104 is an apocalyptic number.

242314104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242314104 is an abundant number, since it is smaller than the sum of its proper divisors (383014536).

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

242314104 is a wasteful number, since it uses less digits than its factorization.

242314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325731 (or 325727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242314104 is about 15566.4415972309. The cubic root of 242314104 is about 623.4374655800.

Adding to 242314104 its reverse (401413242), we get a palindrome (643727346).

The spelling of 242314104 in words is "two hundred forty-two million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 325691 651382 977073 1302764 1954146 2605528 3908292 7816584 10096421 20192842 30289263 40385684 60578526 80771368 121157052 242314104