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242308704 = 25311229459
BaseRepresentation
bin11100111000101…
…01011001100000
3121212221120001110
432130111121200
5444012334304
640013303320
76001406241
oct1634253140
9555846043
10242308704
11114860130
1269194b40
133b27b941
1424276cc8
1516415289
hexe715660

242308704 has 48 divisors (see below), whose sum is σ = 693887040. Its totient is φ = 73426560.

The previous prime is 242308699. The next prime is 242308711. The reversal of 242308704 is 407803242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 113674 + ... + 115785.

It is an arithmetic number, because the mean of its divisors is an integer number (14455980).

Almost surely, 2242308704 is an apocalyptic number.

242308704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242308704 is an abundant number, since it is smaller than the sum of its proper divisors (451578336).

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

242308704 is a wasteful number, since it uses less digits than its factorization.

242308704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229483 (or 229475 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 242308704 is about 15566.2681462192. The cubic root of 242308704 is about 623.4328344184.

The spelling of 242308704 in words is "two hundred forty-two million, three hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 229459 458918 688377 917836 1376754 1835672 2524049 2753508 3671344 5048098 5507016 7342688 7572147 10096196 11014032 15144294 20192392 22028064 30288588 40384784 60577176 80769568 121154352 242308704