Search a number
-
+
242372124 = 2232101191349
BaseRepresentation
bin11100111001001…
…00111000011100
3121220001210001100
432130210320130
5444021401444
640014513100
76002062161
oct1634447034
9556053040
10242372124
111148a3845
1269205790
133b2a1777
1424292068
1516428e69
hexe724e1c

242372124 has 72 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 79344000.

The previous prime is 242372107. The next prime is 242372131. The reversal of 242372124 is 421273242.

242372124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694302 + ... + 694650.

It is an arithmetic number, because the mean of its divisors is an integer number (8663200).

Almost surely, 2242372124 is an apocalyptic number.

It is an amenable number.

242372124 is an abundant number, since it is smaller than the sum of its proper divisors (381378276).

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

242372124 is a wasteful number, since it uses less digits than its factorization.

242372124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 242372124 is about 15568.3051100626. The cubic root of 242372124 is about 623.4872204980.

It can be divided in two parts, 2423 and 72124, that added together give a palindrome (74547).

The spelling of 242372124 in words is "two hundred forty-two million, three hundred seventy-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 191 202 303 349 382 404 573 606 698 764 909 1047 1146 1212 1396 1719 1818 2094 2292 3141 3438 3636 4188 6282 6876 12564 19291 35249 38582 57873 66659 70498 77164 105747 115746 133318 140996 173619 199977 211494 231492 266636 317241 347238 399954 422988 599931 634482 694476 799908 1199862 1268964 2399724 6732559 13465118 20197677 26930236 40395354 60593031 80790708 121186062 242372124