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242134452 = 223274871973
BaseRepresentation
bin11100110111010…
…10110110110100
3121212121201000200
432123222312310
5443441300302
640005440500
76000052230
oct1633526664
9555551020
10242134452
1111475121a
1269110130
133b21a531
142422d5c0
15163cd81c
hexe6eadb4

242134452 has 72 divisors (see below), whose sum is σ = 701291136. Its totient is φ = 69004224.

The previous prime is 242134439. The next prime is 242134481. The reversal of 242134452 is 254431242.

242134452 is a `hidden beast` number, since 2 + 4 + 213 + 445 + 2 = 666.

242134452 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121738 + ... + 123710.

Almost surely, 2242134452 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 242134452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350645568).

242134452 is an abundant number, since it is smaller than the sum of its proper divisors (459156684).

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

242134452 is a wasteful number, since it uses less digits than its factorization.

242134452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2472 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 242134452 is about 15560.6700369875. The cubic root of 242134452 is about 623.2833550315.

Adding to 242134452 its reverse (254431242), we get a palindrome (496565694).

The spelling of 242134452 in words is "two hundred forty-two million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 487 974 1461 1948 1973 2922 3409 3946 4383 5844 5919 6818 7892 8766 10227 11838 13636 13811 17532 17757 20454 23676 27622 30681 35514 40908 41433 55244 61362 71028 82866 122724 124299 165732 248598 497196 960851 1921702 2882553 3843404 5765106 6725957 8647659 11530212 13451914 17295318 20177871 26903828 34590636 40355742 60533613 80711484 121067226 242134452