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242322435 = 34537103157
BaseRepresentation
bin11100111000110…
…00110000000011
3121212222020220000
432130120300003
5444013304220
640013451043
76001464255
oct1634306003
9555866800
10242322435
1111486a483
12691a0a83
133b284c74
142427bcd5
1516419390
hexe718c03

242322435 has 80 divisors (see below), whose sum is σ = 453326016. Its totient is φ = 123731712.

The previous prime is 242322419. The next prime is 242322461. The reversal of 242322435 is 534223242.

It is a happy number.

It is not a de Polignac number, because 242322435 - 24 = 242322419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242322399 and 242322408.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1543377 + ... + 1543533.

Almost surely, 2242322435 is an apocalyptic number.

242322435 is a deficient number, since it is larger than the sum of its proper divisors (211003581).

242322435 is a wasteful number, since it uses less digits than its factorization.

242322435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 242322435 is about 15566.7091898063. The cubic root of 242322435 is about 623.4446102982. Note that the first 3 decimals are identical.

Adding to 242322435 its reverse (534223242), we get a palindrome (776545677).

The spelling of 242322435 in words is "two hundred forty-two million, three hundred twenty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 81 103 111 135 157 185 309 333 405 471 515 555 785 927 999 1413 1545 1665 2355 2781 2997 3811 4239 4635 4995 5809 7065 8343 11433 12717 13905 14985 16171 17427 19055 21195 29045 34299 41715 48513 52281 57165 63585 80855 87135 102897 145539 156843 171495 242565 261405 308691 436617 470529 514485 598327 727695 784215 1309851 1543455 1794981 2183085 2352645 2991635 5384943 6549255 8974905 16154829 26924715 48464487 80774145 242322435