Search a number
-
+
342828101 = 71131241113
BaseRepresentation
bin10100011011110…
…010010001000101
3212220002110202002
4110123302101011
51200230444401
654003555045
711331663560
oct2433622105
9786073662
10342828101
11166576910
129698ba85
1356044985
14337614d7
152016da6b
hex146f2445

342828101 has 48 divisors (see below), whose sum is σ = 456430464. Its totient is φ = 249984000.

The previous prime is 342828091. The next prime is 342828151. The reversal of 342828101 is 101828243.

It is not a de Polignac number, because 342828101 - 210 = 342827077 is a prime.

It is a super-2 number, since 2×3428281012 = 235062213670532402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342828151) 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, 3033821 + ... + 3033933.

It is an arithmetic number, because the mean of its divisors is an integer number (9508968).

Almost surely, 2342828101 is an apocalyptic number.

342828101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

342828101 is a deficient number, since it is larger than the sum of its proper divisors (113602363).

342828101 is a wasteful number, since it uses less digits than its factorization.

342828101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 342828101 is about 18515.6177590703. The cubic root of 342828101 is about 699.8830423643.

The spelling of 342828101 in words is "three hundred forty-two million, eight hundred twenty-eight thousand, one hundred one".

Divisors: 1 7 11 31 41 77 113 217 287 341 451 791 961 1243 1271 2387 3157 3503 4633 6727 8701 8897 10571 13981 24521 32431 38533 39401 50963 73997 97867 108593 143623 269731 275807 356741 433411 760151 1005361 1194523 1579853 3033877 4452313 8361661 11058971 31166191 48975443 342828101