Search a number
-
+
34243840242 = 23211316835713
BaseRepresentation
bin11111111001000101…
…111000100011110010
310021101111211022202100
4133321011320203302
51030112410341432
623421552201230
72321410560633
oct377105704362
9107344738670
1034243840242
1113582834017
126778239216
1332c9680581
14192bd1388a
15d564b807c
hex7f91788f2

34243840242 has 24 divisors (see below), whose sum is σ = 74851584444. Its totient is φ = 11313598464.

The previous prime is 34243840187. The next prime is 34243840247. The reversal of 34243840242 is 24204834243.

34243840242 is a `hidden beast` number, since 3 + 4 + 243 + 8 + 402 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21129238881 + 13114601361 = 145359^2 + 114519^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34243840197 and 34243840206.

It is not an unprimeable number, because it can be changed into a prime (34243840247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8415823 + ... + 8419890.

Almost surely, 234243840242 is an apocalyptic number.

34243840242 is an abundant number, since it is smaller than the sum of its proper divisors (40607744202).

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

34243840242 is a wasteful number, since it uses less digits than its factorization.

34243840242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835834 (or 16835831 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 34243840242 in words is "thirty-four billion, two hundred forty-three million, eight hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 16835713 33671426 50507139 101014278 151521417 303042834 1902435569 3804871138 5707306707 11414613414 17121920121 34243840242