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242305624 = 231117161969
BaseRepresentation
bin11100111000101…
…00101001011000
3121212221101211101
432130110221120
5444012234444
640013241144
76001364251
oct1634245130
9555841741
10242305624
11114858890
12691931b4
133b27a412
1424275b28
15164143d4
hexe714a58

242305624 has 32 divisors (see below), whose sum is σ = 524782800. Its totient is φ = 103659520.

The previous prime is 242305619. The next prime is 242305627. The reversal of 242305624 is 426503242.

It is a junction number, because it is equal to n+sod(n) for n = 242305592 and 242305601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242305627) 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 7 ways as a sum of consecutive naturals, for example, 79489 + ... + 82480.

Almost surely, 2242305624 is an apocalyptic number.

It is an amenable number.

242305624 is an abundant number, since it is smaller than the sum of its proper divisors (282477176).

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

242305624 is a wasteful number, since it uses less digits than its factorization.

242305624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162003 (or 161999 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 242305624 is about 15566.1692140359. The cubic root of 242305624 is about 623.4301929102.

Adding to 242305624 its reverse (426503242), we get a palindrome (668808866).

The spelling of 242305624 in words is "two hundred forty-two million, three hundred five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 161969 323938 647876 1295752 1781659 2753473 3563318 5506946 7126636 11013892 14253272 22027784 30288203 60576406 121152812 242305624