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242322276 = 2237191491019
BaseRepresentation
bin11100111000110…
…00101101100100
3121212222020200010
432130120231210
5444013303101
640013450220
76001463640
oct1634305544
9555866603
10242322276
1111486a349
12691a0970
133b284b81
142427bc20
15164192d6
hexe718b64

242322276 has 96 divisors (see below), whose sum is σ = 685440000. Its totient is φ = 65086848.

The previous prime is 242322251. The next prime is 242322277. The reversal of 242322276 is 672223242.

It is a happy number.

242322276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242322277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237295 + ... + 238313.

It is an arithmetic number, because the mean of its divisors is an integer number (7140000).

Almost surely, 2242322276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242322276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720000).

242322276 is an abundant number, since it is smaller than the sum of its proper divisors (443117724).

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

242322276 is a wasteful number, since it uses less digits than its factorization.

242322276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 242322276 is about 15566.7040827530. The cubic root of 242322276 is about 623.4444739404. Note that the first 4 decimals are identical.

The spelling of 242322276 in words is "two hundred forty-two million, three hundred twenty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 149 228 266 298 399 447 532 596 798 894 1019 1043 1596 1788 2038 2086 2831 3057 3129 4076 4172 5662 6114 6258 7133 8493 11324 12228 12516 14266 16986 19361 19817 21399 28532 33972 38722 39634 42798 58083 59451 77444 79268 85596 116166 118902 135527 151831 232332 237804 271054 303662 406581 455493 542108 607324 813162 910986 1062817 1626324 1821972 2125634 2884789 3188451 4251268 5769578 6376902 8654367 11539156 12753804 17308734 20193523 34617468 40387046 60580569 80774092 121161138 242322276