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242134332 = 2231117107903
BaseRepresentation
bin11100110111010…
…10110100111100
3121212121200212020
432123222310330
5443441244312
640005440140
76000051666
oct1633526474
9555550766
10242134332
11114751120
1269110050
133b21a46b
142422d536
15163cd78c
hexe6ead3c

242134332 has 48 divisors (see below), whose sum is σ = 652603392. Its totient is φ = 69057280.

The previous prime is 242134331. The next prime is 242134339. The reversal of 242134332 is 233431242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242134331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51708 + ... + 56195.

It is an arithmetic number, because the mean of its divisors is an integer number (13595904).

Almost surely, 2242134332 is an apocalyptic number.

242134332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242134332 is an abundant number, since it is smaller than the sum of its proper divisors (410469060).

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

242134332 is a wasteful number, since it uses less digits than its factorization.

242134332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107938 (or 107936 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 242134332 is about 15560.6661811119. Note that the first 3 decimals coincide. The cubic root of 242134332 is about 623.2832520667.

Adding to 242134332 its reverse (233431242), we get a palindrome (475565574).

The spelling of 242134332 in words is "two hundred forty-two million, one hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 107903 215806 323709 431612 647418 1186933 1294836 1834351 2373866 3560799 3668702 4747732 5503053 7121598 7337404 11006106 14243196 20177861 22012212 40355722 60533583 80711444 121067166 242134332