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242414235 = 3357713613
BaseRepresentation
bin11100111001011…
…11001010011011
3121220010220211000
432130233022123
5444024223420
640015440043
76002326020
oct1634571233
9556126730
10242414235
11114922448
1269226023
133b2b799b
14242a3547
1516436690
hexe72f29b

242414235 has 64 divisors (see below), whose sum is σ = 499599360. Its totient is φ = 109226880.

The previous prime is 242414231. The next prime is 242414243. The reversal of 242414235 is 532414242.

242414235 is a `hidden beast` number, since 2 + 424 + 1 + 4 + 235 = 666.

It is not a de Polignac number, because 242414235 - 22 = 242414231 is a prime.

It is a super-2 number, since 2×2424142352 = 117529322661270450, which contains 22 as substring.

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 = 242414199 and 242414208.

It is not an unprimeable number, because it can be changed into a prime (242414231) 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 63 ways as a sum of consecutive naturals, for example, 65289 + ... + 68901.

It is an arithmetic number, because the mean of its divisors is an integer number (7806240).

Almost surely, 2242414235 is an apocalyptic number.

242414235 is an abundant number, since it is smaller than the sum of its proper divisors (257185125).

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

242414235 is a wasteful number, since it uses less digits than its factorization.

242414235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3699 counting only the distinct ones).

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

The square root of 242414235 is about 15569.6575106840. The cubic root of 242414235 is about 623.5233277167.

Adding to 242414235 its reverse (532414242), we get a palindrome (774828477).

The spelling of 242414235 in words is "two hundred forty-two million, four hundred fourteen thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 945 1065 1491 1917 2485 3195 3613 4473 7455 9585 10839 13419 18065 22365 25291 32517 54195 67095 75873 97551 126455 162585 227619 256523 379365 487755 682857 769569 1138095 1282615 1795661 2308707 3414285 3847845 5386983 6926121 8978305 11543535 16160949 26934915 34630605 48482847 80804745 242414235