Search a number
-
+
342640233 = 33132611231
BaseRepresentation
bin10100011011000…
…100011001101001
3212212201221001000
4110123010121221
51200203441413
653555545213
711330252055
oct2433043151
9785657030
10342640233
11166458751
12968bb209
1355caa300
1433712c65
1520133073
hex146c4669

342640233 has 48 divisors (see below), whose sum is σ = 559130880. Its totient is φ = 207230400.

The previous prime is 342640229. The next prime is 342640237. The reversal of 342640233 is 332046243.

It is a happy number.

342640233 is a `hidden beast` number, since 3 + 426 + 4 + 0 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (342640229) and next prime (342640237).

It is not a de Polignac number, because 342640233 - 22 = 342640229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342640197 and 342640206.

It is not an unprimeable number, because it can be changed into a prime (342640237) 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 47 ways as a sum of consecutive naturals, for example, 277728 + ... + 278958.

It is an arithmetic number, because the mean of its divisors is an integer number (11648560).

Almost surely, 2342640233 is an apocalyptic number.

It is an amenable number.

342640233 is a deficient number, since it is larger than the sum of its proper divisors (216490647).

342640233 is a wasteful number, since it uses less digits than its factorization.

342640233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 342640233 is about 18510.5438331779. The cubic root of 342640233 is about 699.7551749266.

Adding to 342640233 its reverse (332046243), we get a palindrome (674686476).

The spelling of 342640233 in words is "three hundred forty-two million, six hundred forty thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 61 117 169 183 351 507 549 793 1231 1521 1647 2379 3693 4563 7137 10309 11079 16003 21411 30927 33237 48009 75091 92781 144027 208039 225273 278343 432081 624117 675819 976183 1872351 2027457 2928549 5617053 8785647 12690379 26356941 38071137 114213411 342640233