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242314296 = 23371975913
BaseRepresentation
bin11100111000101…
…10110000111000
3121212221211201120
432130112300320
5444013024141
640013345240
76001431450
oct1634266070
9555854646
10242314296
11114864354
1269198220
133b281353
1424278d60
1516416c66
hexe716c38

242314296 has 64 divisors (see below), whose sum is σ = 728774400. Its totient is φ = 65587968.

The previous prime is 242314279. The next prime is 242314297. The reversal of 242314296 is 692413242.

242314296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2423142963 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34765 + ... + 41148.

It is an arithmetic number, because the mean of its divisors is an integer number (11387100).

Almost surely, 2242314296 is an apocalyptic number.

It is an amenable number.

242314296 is an abundant number, since it is smaller than the sum of its proper divisors (486460104).

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

242314296 is a wasteful number, since it uses less digits than its factorization.

242314296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75948 (or 75944 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 242314296 is about 15566.4477643424. The cubic root of 242314296 is about 623.4376302422.

The spelling of 242314296 in words is "two hundred forty-two million, three hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 75913 151826 227739 303652 455478 531391 607304 910956 1062782 1442347 1594173 1821912 2125564 2884694 3188346 4251128 4327041 5769388 6376692 8654082 10096429 11538776 12753384 17308164 20192858 30289287 34616328 40385716 60578574 80771432 121157148 242314296